Commutation relations on the covariant derivative

Details Commutation relations on the covariant derivative Commutation relations on the covariant derivative

2006-05-02

arxiv.org/abs/math/0605041v2

J. Algebra 323 (2010) 517-521

Mathematics

Differential Geometry

4 pages, LaTex; added references, sections are rearranged

Scientific paper

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.

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