Leaf Conjugacies on the Torus

Leaf Conjugacies on the Torus

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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...

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Main Author: Hammerlindl, Andrew Scott
Other Authors: Pugh, Charles Chapman
Language:en_ca
Published: 2009
Subjects:
Partially Hypberbolic Systems
Leaf Conjugacies
Mathematics 0405
Online Access:http://hdl.handle.net/1807/19324
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-OTU.1807-193242013-04-17T04:17:46ZLeaf Conjugacies on the TorusHammerlindl, Andrew ScottPartially Hypberbolic SystemsLeaf ConjugaciesMathematics 0405If 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.Pugh, Charles Chapman2009-062010-03-10T16:44:26ZNO_RESTRICTION2010-03-10T16:44:26Z2010-03-10T16:44:26ZThesishttp://hdl.handle.net/1807/19324en_ca
collection NDLTD
language en_ca
sources NDLTD
topic Partially Hypberbolic Systems
Leaf Conjugacies
Mathematics 0405
spellingShingle Partially Hypberbolic Systems
Leaf Conjugacies
Mathematics 0405
Hammerlindl, Andrew Scott
Leaf Conjugacies on the Torus
description 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.
author2 Pugh, Charles Chapman
author_facet Pugh, Charles Chapman
Hammerlindl, Andrew Scott
author Hammerlindl, Andrew Scott
author_sort Hammerlindl, Andrew Scott
title Leaf Conjugacies on the Torus
title_short Leaf Conjugacies on the Torus
title_full Leaf Conjugacies on the Torus
title_fullStr Leaf Conjugacies on the Torus
title_full_unstemmed Leaf Conjugacies on the Torus
title_sort leaf conjugacies on the torus
publishDate 2009
url http://hdl.handle.net/1807/19324
work_keys_str_mv AT hammerlindlandrewscott leafconjugaciesonthetorus
_version_ 1716580350852857856

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