张量代数导子的特殊基。II. 沿路径的情形
微分几何
2007-05-23 v1 广义相对论与量子宇宙学
数学物理
math.MP
摘要
证明了在可微流形上的张量代数导子沿路径分量消失的局部基的存在性。研究了这些基的完整率性。所得结果应用于线性联络的情形。展示了与等效原理的一些关系。
引用
@article{arxiv.math/0304157,
title = {Special bases for derivations of tensor algebras. II. The case along paths},
author = {Bozhidar Z. Iliev},
journal= {arXiv preprint arXiv:math/0304157},
year = {2007}
}
备注
10 LaTeX pages. This paper is a continuation of the e-Print No. math.DG/0303373 and preliminary version of the e-Print gr-qc/9709053. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/