Structure of accessibility classes

Jana Rodriguez Hertz, CARLOS VASQUEZ EHRENFELD

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)4653-4664
Number of pages12
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume40
Issue number8
DOIs
StatePublished - Aug 2020
Externally publishedYes

Keywords

  • Accesibility
  • Partially hyperbolic diffeomorphisms
  • Stable ergodicity

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