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Curvature transformation

From Encyclopedia of Mathematics
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A mapping of the space of vector fields on a manifold , depending linearly on and given by the formula

here is the covariant derivative in the direction of and is the Lie bracket of and . The mapping

is the curvature tensor of the linear connection defined by .

How to Cite This Entry:
Curvature transformation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Curvature_transformation&oldid=46566
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article