边界上孤立零点处向量场的局部指标
几何拓扑
2008-03-20 v2 代数拓扑
摘要
我们定义了边界上孤立零点处向量场的两种局部指标，并证明了针对某些仅在紧致光滑流形上具有孤立零点的向量场的 Poincare-Hopf 型指标定理。
引用
@article{arxiv.0803.2139,
title = {Local Indices of a Vector Field at an Isolated Zero on the Boundary},
author = {Hiroaki Kamae and Masayuki Yamasaki},
journal= {arXiv preprint arXiv:0803.2139},
year = {2008}
}
备注
7 pages, no figures; errors corrected and a section on an alternative formulation added