维数大于三的保体积余维一Anosov流均为悬垂流
动力系统
2014-03-12 v4 微分几何
摘要
我们证明了在维数大于三的闭黎曼流形上，每一个保体积的余维一Anosov流都容许一个全局横截面，因此拓扑共轭于一个线性环面自同构的悬垂流。这在保体积情形下证明了Verjovsky于20世纪70年代提出的一个猜想。
引用
@article{arxiv.math/0508024,
title = {Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions},
author = {Slobodan N. Simić},
journal= {arXiv preprint arXiv:math/0508024},
year = {2014}
}
备注
This paper has been withdrawn by the author due the fact that Theorem 3.1 is false. We apologize for the tardiness of this withdrawal