Transitivity of euclidean extensions of anosov diffeomorphisms

被引：14

作者：

Nitica, V ^{[1
]}

Pollicottt, M

机构：

[1] W Chester Univ Penn, Dept Math, W Chester, PA 19383 USA

[2] Romanian Acad, Inst Math, RO-70700 Bucharest, Romania

[3] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2005年 / 25卷

关键词：

D O I：

10.1017/S0143385704000471

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the class of R-n extensions of Anosov diffeomorphisms on infranilmanifolds, and find necessary and sufficient conditions for topological transitivity. In particular, if the fiber is R, the existence of a semi-orbit with the projection on R unbounded from above and from below is equivalent to topological transitivity. We also show that in the above class topological transitivity and stable topological transitivity are equivalent.

引用

页码：257 / 269

页数：13

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