Difference between revisions of "Formula for curvature of dual connection"
(Created page with '==Statement== Suppose <math>M</math> is a differential manifold, <math>E</math> is a vector bundle over <math>M</math>, and <math>\nabla</math> is a [[fact about::connec…')
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* [[connection to flat connection is flat]]
Latest revision as of 22:13, 24 July 2009
Suppose is a differential manifold, is a vector bundle over , and is a connection on . Suppose is the dual bundle and is the dual connection to . If and denote respectively the Riemann curvature tensors of and , then we have: