三维中泛体积保持Anosov流的指数混合
动力系统
2017-09-05 v5
摘要
设为一个闭的维黎曼流形，且。我们证明在上体积保持Anosov流的空间中存在一个开稠密子集，使得其中所有流都是指数混合的。
引用
@article{arxiv.1601.00063,
title = {Exponential mixing for generic volume-preserving Anosov flows in dimension three},
author = {Masato Tsujii},
journal= {arXiv preprint arXiv:1601.00063},
year = {2017}
}
备注
52 pages, 1 figure. A few errors in the previous version are corrected. Especially we fix errors in Section 4-6 that are caused by confusion between the non-conformal linear map \mathbf{\Delta}_j and scalar multiplication by \Delta_j. Also we modified the Definition 6.14 to resolve a small error in Lemma 6.6. Besides we give more details of the argument and fix several minor errors and typos