论“平行输运”的公理化及其一种推广
数学物理
2007-11-01 v2 微分几何
math.MP
摘要
对平行输运概念的公理化方法作了简明讨论。注意到联络集合与(公理化定义的)平行输运集合之间存在双射。指出沿路径的输运是(公理化定义的)平行输运的一种推广。给出了一般沿路径输运的一些性质。
引用
@article{arxiv.math-ph/0510005,
title = {On the axiomatization of "parallel transports" and and one its generalization},
author = {Bozhidar Z. Iliev},
journal= {arXiv preprint arXiv:math-ph/0510005},
year = {2007}
}
备注
In v3 is corrected an error in proposition 5.1 (now theorem 5.1) Talk at the 8th Int. Conf. of Tensor Society on "Differential geometry, functional & complex, informatics and their applications" Varna, Bulgaria, 22-26 Aug., 2005. For other papers on the same topic, view the "publication" pages at http://theo.inrne.bas.bg/~bozho/