Augmented Dickey–Fuller test: Difference between revisions

Revision as of 01:26, 24 February 2014

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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}}

Augmented Dickey–Fuller test: Difference between revisions

Revision as of 01:26, 24 February 2014

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