Curvature transformation
From Encyclopedia of Mathematics
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
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