On the asymptotic linking number
动力系统
2013-01-21 v3 几何拓扑
摘要
We prove a theorem formulated by V. I. Arnold concerning a relation between the asymptotic linking number and the Hopf invariant of divergence-free vector fields. Using a modified definition for the system of short paths, we prove their existence in the general case.
引用
@article{arxiv.math/0011159,
title = {On the asymptotic linking number},
author = {Thomas Vogel},
journal= {arXiv preprint arXiv:math/0011159},
year = {2013}
}
备注
9 pages, typo removed