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Classification of partially hyperbolic surface endomorphisms

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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… Click to show full 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.

Keywords: partially hyperbolic; surface endomorphisms; hyperbolic surface; classification partially

Journal Title: Geometriae Dedicata
Year Published: 2022

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