Commutation relations on the covariant derivative

JOURNAL OF ALGEBRA

卷:323

Article

Gavrilov, Alexey V.

关键词: Non-associative algebra;    Affine connection;   

DOI  :  10.1016/j.jalgebra.2009.07.027

来源: Elsevier

【 摘 要 】

The n-th order covariant derivative on a smooth manifold with affine connection is a differential operator which maps a function to a tensor field of type (0, n). In the paper the properties of this operator related to the permutations of indices are investigated by means of non-associative algebra. The general formula for commutation relations of this kind is obtained. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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