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arXiv math/0304157math.DGgr-qcmath-phmath.MP
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张量代数导子的特殊基。II。沿路径的情况

Special bases for derivations of tensor algebras. II. The case along paths

Bozhidar Z. Iliev

摘要:

证明了微分流形上张量代数的导子的分支沿路径为零的局部基的存在性。研究了这些基的完整性。所得结果适用于线性连接的情况。与等效原理的一些关系。

英文摘要:

The existence of local bases in which the components of derivations of tensor algebras over a differentiable manifold vanish along paths is proved. The holonomicity of these bases is investigated. The obtained results are applied to the case of linear connections. Some relations with the equivalence principle are shown.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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