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In mathematics in the branch of differential geometry, the cocurvature of a connection on a manifold is the obstruction to the integrability of the vertical bundle. ==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 ''PabPbc'' = ''Pac'', then the cocurvature is a vector-valued 2-form on ''M'' defined by : where ''X'' and ''Y'' are vector fields on ''M''. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Cocurvature」の詳細全文を読む スポンサード リンク
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