Partially hyperbolic surface endomorphisms

被引：6
|
作者：
Hall, Layne [1 ]
Hammerlindl, Andy [1 ]
机构：
[1] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2021年 / 41卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
partial hyperbolicity; non-invertible dynamics; dynamical coherence; DIFFEOMORPHISMS;
D O I：
10.1017/etds.2019.55
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a class of weakly partially hyperbolic endomorphisms on T-2 are dynamically coherent and leaf conjugate to linear toral endomorphisms. Moreover, we give an example of a partially hyperbolic endomorphism on T-2 which does not admit a centre foliation.
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页码：272 / 282
页数：11
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