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.
| Identifer | oai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/19324 |
| Date | 10 March 2010 |
| Creators | Hammerlindl, Andrew Scott |
| Contributors | Pugh, Charles Chapman |
| Source Sets | University of Toronto |
| Language | en_ca |
| Detected Language | English |
| Type | Thesis |
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