Structure of accessibility classes

Jana Rodriguez Hertz; Carlos H. Vásquez

doi:10.3934/dcds.2020196

Structure of accessibility classes

Jana Rodriguez Hertz, Carlos H. Vásquez

INSTITUTE OF MATHEMATICS

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this work we deal with dynamically coherent partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are topologically immersed manifolds. If, furthermore, the diffeomorphism satisfies certain bunching condition, then the accessibility classes are immersed C¹-manifolds.

Original language	English
Pages (from-to)	4653-4664
Number of pages	12
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	40
Issue number	8
DOIs	https://doi.org/10.3934/dcds.2020196
State	Published - Aug 2020

Keywords

Accesibility
Partially hyperbolic diffeomorphisms
Stable ergodicity

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title = "Structure of accessibility classes",

abstract = "In this work we deal with dynamically coherent partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are topologically immersed manifolds. If, furthermore, the diffeomorphism satisfies certain bunching condition, then the accessibility classes are immersed C1-manifolds.",

keywords = "Accesibility, Partially hyperbolic diffeomorphisms, Stable ergodicity",

author = "Hertz, {Jana Rodriguez} and V{\'a}squez, {Carlos H.}",

year = "2020",

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AU - Vásquez, Carlos H.

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AB - In this work we deal with dynamically coherent partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are topologically immersed manifolds. If, furthermore, the diffeomorphism satisfies certain bunching condition, then the accessibility classes are immersed C1-manifolds.

KW - Accesibility

KW - Partially hyperbolic diffeomorphisms

KW - Stable ergodicity

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JF - Discrete and Continuous Dynamical Systems- Series A

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Structure of accessibility classes

Abstract

Keywords

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