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Ergodicity and partial hyperbolicity on the 3-torus

Andy Hammerlindl

School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia

Department of Mathematics, University of Sydney, NSW 2006, Australia

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and

Raúl Ures

IMERL, Facultad de Ingeniería, CC 30, Montevideo, Uruguay

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https://doi.org/10.1142/S0219199713500387Cited by:13 (Source: Crossref)

Abstract

If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffeomorphism A, it is topologically conjugate to A.

Keywords:

AMSC: 37D30, 37A25

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