可微纤维丛中联络、平行移动与沿路径迁移之间的联系
微分几何
2008-03-01 v4 数学物理
math.MP
摘要
部分讨论了平行迁移理论的公理化方法。构造了联络集、（公理化定义的）平行迁移集与满足某些附加条件的沿路径迁移集之间的双射对应。特别地，建立了“联络”与“（公理化定义的）平行迁移”概念之间的等价性。给出了拓扑丛与向量丛所特有的若干结果。
引用
@article{arxiv.math/0504010,
title = {Links between connections, parallel transports, and transports along paths in differentiable fibre bundles},
author = {Bozhidar Z. Iliev},
journal= {arXiv preprint arXiv:math/0504010},
year = {2008}
}
备注
In v.4 is added a section devoted to some peculiarities of (parallel) transports in vector bundles. For other papers on this topic, view http://theo.inrne.bas.bg/~bozho/