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Transitivity of conservative diffeomorphisms isotopic to Anosov on $\mathbb{T}^{3}$

Published online by Cambridge University Press:  04 July 2016

MARTIN ANDERSSON  and
SHAOBO GAN
MARTIN ANDERSSON
Affiliation:
Departamento de Matemática Aplicada, Universidade Federal Fluminense, 24020-140, Niterói -RJ, Brazil
SHAOBO GAN
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China email [email protected], [email protected]
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Abstract

We prove transitivity for volume-preserving $C^{1+}$ diffeomorphisms on $\mathbb{T}^{3}$ which are isotopic to a linear Anosov automorphism along a path of weakly partially hyperbolic diffeomorphisms.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 38 , Issue 1 , February 2018 , pp. 1 - 9
Copyright
© Cambridge University Press, 2016 

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