Rotation set of torus homeomorphisms preserving minimal foliations

Let f be a homeomorphism on 2-torus, homotopic to the identity and preserving two transverse foliations. If both foliations are minimal, or one is minimal and f has the skew-product form, then f is conjugate to a translation. In particular, the rotation set of f consists of a single point.

Saved in:
Bibliographic Details
Published inDynamical systems (London, England) Vol. 30; no. 4; pp. 426 - 434
Main Authors Gan, Shaobo, Shi, Yi, Zheng, Rusong
Format Journal Article
LanguageEnglish
Published Taylor & Francis 02.10.2015
Subjects
Conjugates
Dynamical systems
minimal foliation
Preserving
rotation vector
torus homeomorphism
Translations
Online AccessGet full text

Cover

More Information
Summary:Let f be a homeomorphism on 2-torus, homotopic to the identity and preserving two transverse foliations. If both foliations are minimal, or one is minimal and f has the skew-product form, then f is conjugate to a translation. In particular, the rotation set of f consists of a single point.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1468-9367
1468-9375
DOI:10.1080/14689367.2015.1066312