Classification of partially hyperbolic surface endomorphisms

Author:

Hall Layne,Hammerlindl Andy

Abstract

AbstractWe 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.

Funder

Australian Research Council

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference15 articles.

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