双曲系统上受控微分同胚值上同调的上同调
动力系统
2019-02-20 v3
摘要
我们证明了双曲同胚上、取值于紧流形微分同胚群的受控 Hölder 上闭链的刚性定理。更确切地说，我们表明如果两个此类上闭链具有相等的周期数据，则它们是上同调的。
引用
@article{arxiv.1408.3085,
title = {Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic Systems},
author = {Lucas H. Backes and Alejandro Kocsard},
journal= {arXiv preprint arXiv:1408.3085},
year = {2019}
}
备注
A few improvements were made. To appear in Ergod. Th. & Dynam. Syst