Augmented Dickey–Fuller test: Difference between revisions

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In [[mathematics]] in the branch of [[differential geometry]], the '''cocurvature''' of a [[Connection (mathematics)|connection]] on a [[manifold]] is the obstruction to the integrability of the [[vertical bundle]].
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==Definition==
If ''M'' is a manifold and ''P'' is a connection on ''M'', that is a vector-valued 1-form on ''M'' which is a projection on T''M'' such that ''P<sub>a</sub><sup>b</sup>P<sub>b</sub><sup>c</sup>'' = ''P<sub>a</sub><sup>c</sup>'', then the cocurvature <math>\bar{R}_P</math> is a vector-valued 2-form on ''M'' defined by
 
:<math>\bar{R}_P(X,Y) = (\operatorname{Id} - P)[PX,PY]</math>
 
where ''X'' and ''Y'' are vector fields on ''M''.
 
==See also==
*[[curvature]]
*[[Lie bracket]]
*[[Frölicher-Nijenhuis bracket]]
 
{{curvature}}
 
[[Category:Differential geometry]]
[[Category:Curvature (mathematics)]]
 
 
{{differential-geometry-stub}}

Latest revision as of 18:19, 9 September 2014

Jayson Berryhill is how I'm called and my wife doesn't like it at all. For many years he's been living in Alaska and he doesn't plan on altering it. Credit authorising is exactly where my main income arrives from. To perform lacross is the thing I adore most of all.

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