Curvature matrix of a connection

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Revision as of 23:51, 11 April 2008 by Vipul (talk | contribs) (New page: ==Definition== Suppose <math>M</math> is a differential manifold, <math>E</math> a vector bundle over <math>M</math>, and <math>\nabla</math> a connection over <math>M</math>. Let...)
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Definition

Suppose M is a differential manifold, E a vector bundle over M, and a connection over M. Let pM and Up be an open set such that the vector bundle E, restricted to U, is trivial. The curvature matrix of p is a matrix of