Commutation relations on the covariant derivative
Differential Geometry
2011-06-28 v2 Rings and Algebras
Abstract
The n-th order covariant derivative on a smooth manifold with an affine connection is a differential operator which turns a function into a tensor field of type (0,n). In this paper the properties of this operatior related to the permutation of indices are investigated by means of non-associative algebra. The general formula for commutation relations of this kind is obtained.
Keywords
Cite
@article{arxiv.math/0605041,
title = {Commutation relations on the covariant derivative},
author = {A. V. Gavrilov},
journal= {arXiv preprint arXiv:math/0605041},
year = {2011}
}
Comments
4 pages, LaTex; added references, sections are rearranged