Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Expansive partially hyperbolic diffeomorphisms with one-dimensional center

Martín Sambarino, José Vieitez

Abstract

We give sufficient conditions for an expansive partially hyperbolic diffeomorphism with one-dimensional center to be (topologically) Anosov.

Expansive partially hyperbolic diffeomorphisms with one-dimensional center

Abstract

We give sufficient conditions for an expansive partially hyperbolic diffeomorphism with one-dimensional center to be (topologically) Anosov.
Paper Structure (3 sections, 20 theorems, 28 equations)

This paper contains 3 sections, 20 theorems, 28 equations.

Table of Contents

  1. Introduction
  2. Proof of Theorem \ref{['t.main']} and Corollary \ref{['c.qa']}
  3. Proof of Proposition \ref{['p.options']}

Key Result

Theorem 1.3

Let $f:M\to M$ be an expansive partially hyperbolic diffeomorphism with one-dimensional center and dynamically coherent. Assume that one among the following conditions hold: Then, $f$ is topologically Anosov.

Theorems & Definitions (38)

  • Remark 1.1
  • Theorem 1.3
  • Corollary 1.4
  • Proposition 2.1
  • Lemma 2.2
  • proof
  • Lemma 2.3
  • proof
  • Corollary 2.4
  • proof
  • ...and 28 more