余维一特殊的Anosov自同态

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2023-02-05 DOI:10.1080/14689367.2022.2164708

Xiang Zhang

引用次数: 0

摘要

我们证明了如果一个闭合光滑n流形M允许一个u维的特殊的Anosov自同态f，则M同胚于一个双曲自同态，且f拓扑共轭于双曲自同态。并且，任意u维一特殊Anosov自同态是可传递的，稳定叶理是极小的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On codimension one special Anosov endomorphisms

We show that if a closed smooth n-manifold M admits a u-dimension one special Anosov endomorphism f, then M is homeomorphic to and f is topologically conjugate to a hyperbolic toral endomorphism. Moreover, any u-dimension one special Anosov endomorphism is transitive and the stable foliation is minimal.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences