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Partially hyperbolic surface endomorphisms

Published online by Cambridge University Press:  03 September 2019

LAYNE HALL
Affiliation:
School of Mathematical Sciences, Monash University, Victoria3800, Australia email layne.hall@monash.edu, andy.hammerlindl@monash.edu
ANDY HAMMERLINDL
Affiliation:
School of Mathematical Sciences, Monash University, Victoria3800, Australia email layne.hall@monash.edu, andy.hammerlindl@monash.edu

Abstract

We prove that a class of weakly partially hyperbolic endomorphisms on $\mathbb{T}^{2}$ are dynamically coherent and leaf conjugate to linear toral endomorphisms. Moreover, we give an example of a partially hyperbolic endomorphism on $\mathbb{T}^{2}$ which does not admit a centre foliation.

Type
Original Article
Copyright
© Cambridge University Press, 2019

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References

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