|
|
| Line 1: |
Line 1: |
| In [[mathematics]], a '''Kleinian group''' is a [[discrete subgroup]] of [[PSL(2,C)|PSL(2, '''C''')]]. The group PSL(2, '''C''') of 2 by 2 complex matrices of determinant 1 modulo its center has several natural representations: as [[conformal transformation]]s of the [[Riemann sphere]], and as [[orientation-preserving]] [[isometries]] of 3-dimensional [[hyperbolic space]] '''H'''<sup>3</sup>, and as orientation preserving [[conformal map|conformal]] maps of the open [[unit ball]] ''B''<sup>3</sup> in '''R'''<sup>3</sup> to itself. Therefore a Kleinian group can be regarded as a discrete subgroup acting on one of these spaces.
| | www.alleyboy.com - [http://www.alleyboy.com/forum/hostgator-css-300266 http://www.alleyboy.com/forum/hostgator-css-300266]; Choosing the right webhosting service is necessary. The last thing you wish to do is get a website published with a hosting service (after discovering to make use of that hosting service), and then be dissatisfied with the service and need to mess around with transferring your website to an additional hosting service.<br><br><br><br>I'm a pleased HostGator client. I utilize both HostGator and Bluehost. I recommend both. This article is a comprehensive HostGator evaluation.<br><br>I'll start with among the most essential considerations: Rate<br><br>HostGator has several rates plans. They are as follows (since the date this short article was released):.<br><br>Hatchling Strategy: as low as $4.95 per month with a 3 year dedication. On this plan you can host one internet site.<br>Baby Plan: as low as $7.95 per month with a 3 year dedication. On this strategy you can host an unrestricted number of internet sites.<br>Company Strategy: as low as $12.95 per month with 3 year dedication.<br><br>You don't need to dedicate for 3 years. With much shorter term dedications, you'll pay a little even more per month.<br><br>You can likewise get your own devoted server if this is something you such as to have.<br><br>Unrestricted number of sites.<br><br>I would not consider a hosting service that didn't let me host a limitless variety of sites for one monthly price under $10. I have a number of websites and I like the flexibility of having the ability to build even more sites at no extra cost (except for signing up the domain name).<br><br>If you choose for the Baby Strategy (this is the strategy I have) or Business Strategy, you can host as numerous internet sites on as numerous domain as you such as. This is where utilizing a hosting service like HostGator can save you a lot of cash in the long run versus making use of a website home builder or having a website designer host your internet sites. When you make use of a website contractor or have a website designer host your site, you'll typically pay extra for each additional internet site (or each extra set of websites).<br><br>The disadvantage naturally, is you must handle your very own hosting. Nonetheless, fortunately, this isn't really tough with the simple CPanel and technical support.<br><br>Domain registration.<br><br>You can easily sign up domain names with HostGator. Nothing can be worse than building a terrific site and then to lose it all due to the fact that you forgot to renew your domain name. It's possible then that someone else registers your domain name and you can't get it again.<br><br>All HostGator prepares offer endless bandwidth.<br><br>This is great and you must need this with any website hosting service. I would not think about making use of a hosting service that didn't provide unrestricted bandwidth.<br><br>Simple CPanel Dash panel.<br><br>You handle your websites with HostGator in a [http://imageshack.us/photos/dashboard dashboard] described as a CPanel. The CPanel is a simple interface to manage your websites and domains.<br><br>Easy website setup.<br><br>I specifically require with any [http://Search.Usa.gov/search?affiliate=usagov&query=hosting+service hosting service] that I utilize can set up WordPress with basically a single click or a series of easy clicks. HostGator provides Fantastico De Luxe and QuickInstall options for easily setting up WordPress and numerous other scripts to construct your website (i.e. Joomla and others).<br><br>Access to 4,500 website templates.<br><br>For any web designer, this is huge. This is an excellent method to build sites inexpensively for customers. You can examine out these templates for yourself on the HostGator site without having to sign up.<br><br>Free website contractors.<br><br>With an account, you can easily develop a site with one of 2 website contractors you get access to. The 2 site home builders are:.<br><br>Trendy Website Contractor, and.<br>Site Studio website home builder.<br><br>Note, you can just utilize the website builders for one website on your account. What this suggests is if you get an account where you can host unlimited domains, you can only build one website with a website contractor.<br><br>Email accounts.<br><br>You get endless POP3 e-mail accounts with SMTP. Having email accounts on your custom domain names is more professional than a gmail or hotmail e-mail account.<br><br>45 day cash back ensure.<br><br>You can get your cash back if you cancel your account within 45 days if HostGator isn't really for you.<br><br>Video tutorials.<br><br>HostGator offers you access to many video tutorials that step you with many processes.<br><br>Client support.<br><br>The operators for technical support understand a lot about working in HostGator. If you have a question about tailoring a WordPress theme, HostGator will not aid you (I found this to be the case with Bluehost.<br><br>1 Objection of HostGator.<br><br>I needed to call HostGator to verify my account upon opening it. This didn't take long, but it was an additional step. I would have chosen merely to sign up and start without having to call them for verification. |
| | |
| There are some variations of the definition of a Kleinian group: sometimes
| |
| Kleinian groups are allowed to be subgroups of PSL(2, '''C''').2 (PSL(2, '''C''') extended by complex conjugations), in other words to have orientation reversing elements, and sometimes they are assumed to be [[finitely generated group|finitely generated]], and sometimes they are required to act properly discontinuously on a non-empty open subset of the Riemann sphere. A Kleinian group is said to be of '''type 1''' if the limit set is the whole Riemann sphere, and of '''type 2''' otherwise.
| |
| | |
| The theory of general Kleinian groups was founded by {{harvs|txt|authorlink=Felix Klein|first=Felix|last=Klein|year=1883}} and {{harvs|txt|first=Henri| last=Poincaré|authorlink=Henri Poincaré|year=1883}}, who named them after [[Felix Klein]]. The special case of [[Schottky group]]s had been studied a few years before by Schottky. | |
| | |
| ==Definitions==
| |
| | |
| By considering the ball's boundary, a Kleinian group can also be defined as a subgroup Γ of PGL(2,'''C'''), the complex [[projective linear group]], which acts by [[Möbius transformation]]s on the [[Riemann sphere]]. Classically, a Kleinian group was required to act properly discontinuously on a non-empty open subset of the Riemann sphere, but modern usage allows any discrete subgroup.
| |
| | |
| When Γ is isomorphic to the [[fundamental group]] <math>\pi_1</math> of a [[hyperbolic 3-manifold]], then the [[quotient space]] '''H'''<sup>3</sup>/Γ becomes a [[Kleinian model]] of the manifold. Many authors use the terms ''Kleinian model'' and ''Kleinian group'' interchangeably, letting the one stand for the other.
| |
| | |
| Discreteness implies points in ''B''<sup>3</sup> have finite [[stabilizer (group theory)|stabilizer]]s, and discrete [[orbit (group theory)|orbits]] under the group ''G''. But the orbit ''Gp'' of a point ''p'' will typically [[accumulation point|accumulate]] on the boundary of the [[closed ball]] <math>\bar{B}^3</math>.
| |
| | |
| [[Image:Apollonian gasket.svg|thumb|An [[Apollonian gasket]] is an example of a limit set of a Kleinian group]] The boundary of the closed ball is called the '''''sphere at infinity''''', and is denoted <math>S^2_\infty</math>. The set of [[accumulation point]]s of ''Gp'' in <math>S^2_\infty</math> is called the '''''limit set''''' of ''G'', and usually denoted <math>\Lambda(G)</math>. The complement <math>\Omega(G)=S^2_\infty - \Lambda(G)</math> is called the '''domain of discontinuity''' or the '''ordinary set''' or the '''regular set'''. [[Ahlfors' finiteness theorem]] implies that if the group is finitely generated then <math>\Omega(G)/G</math> is a Riemann surface orbifold of finite type.
| |
| | |
| The unit ball ''B''<sup>3</sup> with its conformal structure is the [[Poincaré half-plane model|Poincaré model]] of [[hyperbolic 3-space]]. When we think of it metrically, with metric
| |
| :<math>ds^2= \frac{4 \left| dx \right|^2 }{\left( 1-|x|^2 \right)^2}</math>
| |
| it is a model of 3-dimensional hyperbolic space '''H'''<sup>3</sup>. The set of conformal self-maps of ''B''<sup>3</sup> becomes the set of [[isometries]] (i.e. distance-preserving maps) of '''H'''<sup>3</sup> under this identification. Such maps restrict to conformal self-maps of <math>S^2_\infty</math>, which are [[Möbius transformation]]s. There are isomorphisms
| |
| | |
| :<math> \mbox{Mob}(S^2_\infty) \cong \mbox{Conf}(B^3) \cong \mbox{Isom}(\mathbf{H}^3).</math>
| |
| | |
| The [[subgroup]]s of these groups consisting of [[orientation-preserving]] transformations are all isomorphic to the projective matrix group: PSL(2,'''C''') via the usual identification of the [[unit sphere]] with the [[complex projective line]] '''P'''<sup>1</sup>('''C''').
| |
| | |
| ==Finiteness conditions==
| |
| | |
| *A Kleinian group is said to be of '''finite type''' if its region of discontinuity has a finite number of orbits of components under the group action, and the quotient of each component by its stabilizer is a compact Riemann surface with finitely many points removed, and the covering is ramified at finitely many points.
| |
| *A Kleinian group is called '''finitely generated''' if it has a finite number of generators. The [[Ahlfors finiteness theorem]] says that such a group is of finite type.
| |
| *A Kleinian group Γ has '''finite covolume''' if '''H'''<sup>3</sup>/Γ has finite volume. Any Kleinian group of finite covolume is finitely generated.
| |
| *A Kleinian group is called '''[[geometrically finite]]''' is it has a fundamental polyhedron (in hyperbolic 3-space) with finitely many sides. Ahlfors showed that if the limit set is not the whole Riemann sphere then it has measure 0.
| |
| *A Kleinian group Γ is called '''arithmetic''' if it is commensurable with the group of units of an order of quaternion algebra ''A'' ramified at all real places over a number field ''k'' with exactly one complex place. Arithmetic Kleinian groups have finite covolume.
| |
| *A Kleinian group Γ is called '''cocompact''' if '''H'''<sup>3</sup>/Γ is compact, or equivalently SL(2, '''C''')/Γ is compact. Cocompact Kleinian groups have finite covolume.
| |
| | |
| *A Kleinian group is called '''topologically tame''' if it is finitely generated and its hyperbolic manifold is homeomorphic to the interior of a compact manifold with boundary.
| |
| *A Kleinian group is called '''geometrically tame''' if its ends are either geometrically finite or simply degenerate {{harv|Thurston|1980}}.
| |
| | |
| ==Examples==
| |
| ===Bianchi groups===
| |
| A [[Bianchi group]] is a Kleinian group of the form PSL(2, ''O''<sub>''d''</sub>), where ''d'' is a positive [[square-free integer]].
| |
| | |
| ===Elementary and reducible Kleinian groups===
| |
| A Kleinian group is called elementary if its limit set is finite, in which case the limit set has 0, 1, or 2 points.
| |
| Examples of elementary Kleinian groups include finite Kleinian groups (with empty limit set) and infinite cyclic Kleinian groups.
| |
| | |
| A Kleinian group is called reducible if all elements have a common fixed point on the Riemann sphere. Reducible Kleinian groups are elementary, but some elementary finite Kleinian groups are not reducible.
| |
| | |
| ===Fuchsian groups===
| |
| Any [[Fuchsian group]] (a discrete subgroup of SL(2, '''R''')) is a Kleinian group, and conversely any Kleinian group preserving the real line (in its action on the Riemann sphere) is a Fuchsian group. More generally, any Kleinian group preserving a circle or straight line in the Riemann sphere is conjugate to a Fuchsian group.
| |
| | |
| ===Koebe groups===
| |
| *A '''factor''' of a Kleinian group ''G'' is a subgroup ''H'' maximal subject to the following properties:
| |
| **''H'' has a simply connected invariant component ''D''
| |
| **A conjugate of an element ''h'' of ''H'' by a conformal bijection is parabolic or elliptic if and only if ''h'' is.
| |
| **Any parabolic element of ''G'' fixing a boundary point of ''D'' is in ''H''.
| |
| *A Kleinian group is called a '''Koebe group''' if all its factors are elementary or Fuchsian.
| |
| | |
| ===Quasi-Fuchsian groups===
| |
| A Kleinian group that preserves a [[Jordan curve]] is called a '''[[quasi-Fuchsian group]]'''. When the Jordan curve is a circle or a straight line these are just conjugate to Fuchsian groups under conformal transformations. Finitely generated quasi-Fuchsian groups are conjugate to Fuchsian groups under quasi-conformal transformations. The limit set is contained in the invariant Jordan curve, and it is equal to the Jordan curve the group is said to be of '''type one''', and otherwise it is said to be of '''type 2'''.
| |
| | |
| ===Schottky groups===
| |
| Let ''C''<sub>i</sub> be the boundary circles of a finite collection of disjoint closed disks. The group generated by [[Circle inversion|inversion]] in each circle has limit set a [[Cantor set]], and the quotient '''H'''<sup>3</sup>/''G'' is a [[mirror orbifold]] with underlying space a ball. It is [[Double cover (topology)|double covered]] by a [[handlebody]]; the corresponding [[Index of a subgroup|index]] 2 subgroup is a Kleinian group called a [[Schottky group]].
| |
| | |
| ===Crystallographic groups===
| |
| Let ''T'' be a [[Frequency|periodic]] [[tessellation]] of hyperbolic 3-space. The group of symmetries of the tessellation is a Kleinian group.
| |
| | |
| ===Fundamental groups of hyperbolic 3-manifolds===
| |
| The fundamental group of any oriented hyperbolic 3-manifold is a Kleinian group. There are many examples of these, such as the complement of a figure 8 knot or the [[Seifert–Weber space]]. Conversely if a Kleinian group has no nontrivial torsion elements then it is the fundamental group of a hyperbolic 3-manifold.
| |
| | |
| ===Degenerate Kleinian groups===
| |
| A Kleinian group is called degenerate if it is not elementary and its limit set is simply connected. Such groups can be constructed by taking a suitable limit of quasi-Fuchsian groups such that one of the two components of the regular points contracts down to the empty set; these groups are called '''singly degenerate'''. If both components of the regular set contract down to the empty set, then the limit set becomes a space-filling curve and the group is called '''doubly degenerate'''.
| |
| The existence of degenerate Kleinian groups was first shown indirectly by {{harvtxt|Bers|1970}}, and the first explicit example was found by Jørgensen. {{harvtxt|Cannon|Thurston|2007}} gave examples of doubly degenerate groups and space-filling curves associated to [[pseudo-Anosov map]]s.
| |
| | |
| ==See also==
| |
| | |
| *[[Tameness theorem]] (Marden's conjecture)
| |
| *[[Ahlfors measure conjecture]]
| |
| *[[density theorem for Kleinian groups]]
| |
| *[[Ending lamination theorem]]
| |
| | |
| ==References==
| |
| | |
| *{{Citation | last1=Bers | first1=Lipman | authorlink = Lipman Bers | title=On boundaries of Teichmüller spaces and on Kleinian groups. I | year=1970 | journal=[[Annals of Mathematics|Annals of Mathematics. Second Series]] | issn=0003-486X | volume=91 | pages=570–600 | mr=0297992 | jstor=1970638 | doi=10.2307/1970638 | issue=3}}
| |
| *{{Citation | editor1-last=Bers | editor1-first=Lipman | editor1-link=Lipman Bers | editor2-last=Kra | editor2-first=Irwin | editor2-link=Irwin Kra | title=A crash course on Kleinian groups | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Lecture Notes in Mathematics | doi=10.1007/BFb0065671 | year=1974 | volume=400 | mr=0346152}}
| |
| *{{Citation | last1=Cannon | first1=James W. | last2=Thurston | first2=William P. | author2-link=William Thurston | title=Group invariant Peano curves | origyear=1982 | doi=10.2140/gt.2007.11.1315 | year=2007 | journal=Geometry & Topology | issn=1465-3060 | volume=11 | pages=1315–1355 | mr=2326947}}
| |
| *{{Citation | last1=Fricke | first1=Robert | last2=Klein | first2=Felix | title=Vorlesungen über die Theorie der automorphen Functionen. Erster Band; Die gruppentheoretischen Grundlagen | url=http://www.archive.org/details/vorlesungenber01fricuoft | publisher=Leipzig: B. G. Teubner | language=German | isbn=978-1-4297-0551-6 | year=1897 | jfm=28.0334.01}}
| |
| *{{Citation | last1=Fricke | first1=Robert | last2=Klein | first2=Felix | title=Vorlesungen über die Theorie der automorphen Functionen. Zweiter Band: Die funktionentheoretischen Ausführungen und die Anwendungen. 1. Lieferung: Engere Theorie der automorphen Funktionen | url=http://www.archive.org/details/vorlesungenber02fricuoft | publisher=Leipzig: B. G. Teubner. | language=German | isbn=978-1-4297-0552-3 | year=1912 | jfm=32.0430.01}}
| |
| *{{citation|last=Harvey|first= William James|chapter=Kleinian groups (a survey).|title= Séminaire Bourbaki, 29e année (1976/77), Exp. No. 491|pages= 30–45,|series=Lecture Notes in Math.|volume= 677|publisher= Springer, Berlin|year= 1978|doi=10.1007/BFb0070752|mr=0521758}}
| |
| *{{Citation | last1=Kapovich | first1=Michael | title=Hyperbolic manifolds and discrete groups | origyear=2001 | publisher=Birkhäuser Boston | location=Boston, MA | series=Modern Birkhäuser Classics | isbn=978-0-8176-4912-8 | doi=10.1007/978-0-8176-4913-5 | year=2009 | mr=1792613}}
| |
| * {{Citation | last1=Klein | first1=Felix | title=Neue Beiträge zur Riemann'schen Functionentheorie | publisher=Springer Berlin / Heidelberg | year=1883 | journal=[[Mathematische Annalen]] | issn=0025-5831 | volume=21 | pages=141–218 | jfm=15.0351.01 | doi=10.1007/BF01442920 | issue=2}}
| |
| *{{citation | last=Kra|first= Irwin|authorlink=Irwin Kra|title=Automorphic forms and Kleinian groups|url=http://books.google.com/books?id=UPw4AAAAIAAJ | publisher=W. A. Benjamin, Inc., Reading, Mass.|series=Mathematics Lecture Note Series|year=1972 | mr=0357775}}
| |
| * {{eom|id=K/k055520|first=S.L.|last= Krushkal}}
| |
| *{{Citation | last1=Maclachlan | first1=Colin | last2=Reid | first2=Alan W. | title=The arithmetic of hyperbolic 3-manifolds | url=http://books.google.com/books?id=yrmT56mpw3kC | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Graduate Texts in Mathematics | isbn=978-0-387-98386-8 | year=2003 | volume=219 | mr=1937957}}
| |
| *{{Citation | last1=Maskit | first1=Bernard | title=Kleinian groups | url=http://books.google.com/books?id=qxMzE0-OzrsC | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] | isbn=978-3-540-17746-3 | year=1988 | volume=287 | mr=959135}}
| |
| *{{Citation | last1=Matsuzaki | first1=Katsuhiko | last2=Taniguchi | first2=Masahiko | title=Hyperbolic manifolds and Kleinian groups | url=http://books.google.com/books?id=DLAGEBfEgEUC | publisher=The Clarendon Press Oxford University Press | series=Oxford Mathematical Monographs | isbn=978-0-19-850062-9 | year=1998 | mr=1638795}}
| |
| *{{Citation | last1=Mumford | first1=David | author1-link=David Mumford | last2=Series | first2=Caroline | last3=Wright | first3=David | title=Indra's pearls | url=http://klein.math.okstate.edu/IndrasPearls/ | publisher=[[Cambridge University Press]] | isbn=978-0-521-35253-6 | year=2002 | mr=1913879}}
| |
| * {{Citation | last1=Poincaré | first1=Henri | author1-link=Henri Poincaré | title=Mémoire sur Les groupes kleinéens | publisher=Springer Netherlands | doi=10.1007/BF02422441 | year=1883 | journal=[[Acta Mathematica]] | issn=0001-5962 | volume=3 | pages=49–92 | jfm=15.0348.02}}
| |
| *{{Citation | last1=Series | first1=Caroline | title=A crash course on Kleinian groups | url=http://www.dmi.units.it/~rimut/volumi/37/ | year=2005 | journal=Rendiconti dell'Istituto di Matematica dell'Università di Trieste | issn=0049-4704 | volume=37 | issue=1 | pages=1–38 | mr=2227047}}
| |
| **{{Citation | last1=Thurston | first1=William | title=The geometry and topology of three-manifolds | url=http://library.msri.org/books/gt3m/ | series=Princeton lecture notes | year=1980}}
| |
| *{{Citation | last1=Thurston | first1=William P. | author1-link=William Thurston | title=Three-dimensional manifolds, Kleinian groups and hyperbolic geometry | doi=10.1090/S0273-0979-1982-15003-0 | year=1982 | journal=American Mathematical Society. Bulletin. New Series | issn=0002-9904 | volume=6 | issue=3 | pages=357–381 | mr=648524}}
| |
| | |
| ==External links==
| |
| *[http://www.archive.org/stream/vorlesungenber01fricuoft#page/418/mode/2up A picture of the limit set of a quasi-Fuchsian group] from {{harv|Fricke|Klein|1897|p= 418}}.
| |
| *[http://www.archive.org/stream/vorlesungenber01fricuoft#page/440/mode/2up A picture of the limit set of a Kleinian group] from {{harv|Fricke|Klein|1897|p= 440}}. This was one of the first pictures of a limit set. [http://images.math.cnrs.fr/Un-ensemble-limite.html A computer drawing of the same limit set]
| |
| *[http://www.josleys.com/show_gallery.php?galid=296 Animations of Kleinian group limit sets]
| |
| *[http://www.math.harvard.edu/~ctm/gallery/index.html Images related to Kleinian groups by McMullen]
| |
| | |
| [[Category:Kleinian groups|*]]
| |
| [[Category:Discrete groups]]
| |
| [[Category:Lie groups]]
| |
| [[Category:Automorphic forms]]
| |
| [[Category:3-manifolds]]
| |
www.alleyboy.com - http://www.alleyboy.com/forum/hostgator-css-300266; Choosing the right webhosting service is necessary. The last thing you wish to do is get a website published with a hosting service (after discovering to make use of that hosting service), and then be dissatisfied with the service and need to mess around with transferring your website to an additional hosting service.
I'm a pleased HostGator client. I utilize both HostGator and Bluehost. I recommend both. This article is a comprehensive HostGator evaluation.
I'll start with among the most essential considerations: Rate
HostGator has several rates plans. They are as follows (since the date this short article was released):.
Hatchling Strategy: as low as $4.95 per month with a 3 year dedication. On this plan you can host one internet site.
Baby Plan: as low as $7.95 per month with a 3 year dedication. On this strategy you can host an unrestricted number of internet sites.
Company Strategy: as low as $12.95 per month with 3 year dedication.
You don't need to dedicate for 3 years. With much shorter term dedications, you'll pay a little even more per month.
You can likewise get your own devoted server if this is something you such as to have.
Unrestricted number of sites.
I would not consider a hosting service that didn't let me host a limitless variety of sites for one monthly price under $10. I have a number of websites and I like the flexibility of having the ability to build even more sites at no extra cost (except for signing up the domain name).
If you choose for the Baby Strategy (this is the strategy I have) or Business Strategy, you can host as numerous internet sites on as numerous domain as you such as. This is where utilizing a hosting service like HostGator can save you a lot of cash in the long run versus making use of a website home builder or having a website designer host your internet sites. When you make use of a website contractor or have a website designer host your site, you'll typically pay extra for each additional internet site (or each extra set of websites).
The disadvantage naturally, is you must handle your very own hosting. Nonetheless, fortunately, this isn't really tough with the simple CPanel and technical support.
Domain registration.
You can easily sign up domain names with HostGator. Nothing can be worse than building a terrific site and then to lose it all due to the fact that you forgot to renew your domain name. It's possible then that someone else registers your domain name and you can't get it again.
All HostGator prepares offer endless bandwidth.
This is great and you must need this with any website hosting service. I would not think about making use of a hosting service that didn't provide unrestricted bandwidth.
Simple CPanel Dash panel.
You handle your websites with HostGator in a dashboard described as a CPanel. The CPanel is a simple interface to manage your websites and domains.
Easy website setup.
I specifically require with any hosting service that I utilize can set up WordPress with basically a single click or a series of easy clicks. HostGator provides Fantastico De Luxe and QuickInstall options for easily setting up WordPress and numerous other scripts to construct your website (i.e. Joomla and others).
Access to 4,500 website templates.
For any web designer, this is huge. This is an excellent method to build sites inexpensively for customers. You can examine out these templates for yourself on the HostGator site without having to sign up.
Free website contractors.
With an account, you can easily develop a site with one of 2 website contractors you get access to. The 2 site home builders are:.
Trendy Website Contractor, and.
Site Studio website home builder.
Note, you can just utilize the website builders for one website on your account. What this suggests is if you get an account where you can host unlimited domains, you can only build one website with a website contractor.
Email accounts.
You get endless POP3 e-mail accounts with SMTP. Having email accounts on your custom domain names is more professional than a gmail or hotmail e-mail account.
45 day cash back ensure.
You can get your cash back if you cancel your account within 45 days if HostGator isn't really for you.
Video tutorials.
HostGator offers you access to many video tutorials that step you with many processes.
Client support.
The operators for technical support understand a lot about working in HostGator. If you have a question about tailoring a WordPress theme, HostGator will not aid you (I found this to be the case with Bluehost.
1 Objection of HostGator.
I needed to call HostGator to verify my account upon opening it. This didn't take long, but it was an additional step. I would have chosen merely to sign up and start without having to call them for verification.