Classification of partially hyperbolic surface endomorphisms

Layne Hall, Andy Hammerlindl

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. We proceed to characterise the dynamics in the presence of periodic centre annuli. This completes a classification of partially hyperbolic surface endomorphisms.

Original languageEnglish
Article number29
Number of pages19
JournalGeometriae Dedicata
Volume216
Issue number3
DOIs
Publication statusPublished - Jun 2022

Keywords

  • Dynamical coherence
  • Non-invertible dynamics
  • Partial hyperbolicity

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