Vector fields with a given set of singular points
动力系统
2007-05-23 v1 几何拓扑
摘要
Theorems on the existence of vector fields with given sets of Indexes of isolated Singular points are proved for the cases of closed manifolds, pairs of manifolds, manifolds with boundary, and gradient fields. It is proved that, on a two-dimensional manifold, an index of an isolated Singular point of the gradient field is not greater than one.
引用
@article{arxiv.math/9901116,
title = {Vector fields with a given set of singular points},
author = {A. O. Prishlyak},
journal= {arXiv preprint arXiv:math/9901116},
year = {2007}
}