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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/19324

Title: Leaf Conjugacies on the Torus
Authors: Hammerlindl, Andrew Scott
Advisor: Pugh, Charles Chapman
Department: Mathematics
Keywords: Partially Hypberbolic Systems
Leaf Conjugacies
Issue Date: 10-Mar-2010
Abstract: 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.
URI: http://hdl.handle.net/1807/19324
Appears in Collections:Doctoral
Department of Mathematics - Doctoral theses

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