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Leaf Conjugacies on the Torus

If a partially hyperbolic diffeomorphism on a torus of dimension d greater than 3 has
stable and unstable foliations which are quasi-isometric on the universal cover,
and its center direction is one-dimensional, then the diffeomorphism is leaf
conjugate to a linear toral automorphism. In other words, the hyperbolic
structure of the diffeomorphism is exactly that of a linear, and thus simple to
understand, example. In particular, every partially hyperbolic diffeomorphism on
the 3-torus is leaf conjugate to a linear toral automorphism.

Identiferoai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/19324
Date10 March 2010
CreatorsHammerlindl, Andrew Scott
ContributorsPugh, Charles Chapman
Source SetsUniversity of Toronto
Languageen_ca
Detected LanguageEnglish
TypeThesis

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