Transitive partially hyperbolic di eomorphisms with one-dimensional neutral center  

作　　者：Christian Bonatti Jinhua Zhang 

机构地区：[1]Institut de Mathematiques de Bourgogne,Universite de Bourgogne,Dijon 21104,France [2]School of Mathematical Sciences,Beihang University,Beijing 100191,China

出　　处：《Science China Mathematics》2020年第9期1647-1670,共24页中国科学：数学（英文版）

基　　金：The second author was supported by the European Research Council(Grant No.692925);the starting grant from Beihang University.

摘　　要：In this paper,we study transitive partially hyperbolic di eomorphisms with one-dimensional topologically neutral center,meaning that the length of the iterate of small center segments remains small.Such systems are dynamically coherent.We show that there exists a continuous metric along the center foliation which is invariant under the dynamics.As an application,we classify the transitive partially hyperbolic di eomorphisms on 3-manifolds with topologically neutral center.

关 键 词：partial hyperbolicity dynamical coherence CONJUGACY TRANSITIVITY NEUTRAL 

分 类 号：O186.1[理学—数学]