Leaf conjugacies on the torus
2013 ◽
Vol 33
(3)
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pp. 896-933
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Keyword(s):
AbstractIf a partially hyperbolic diffeomorphism on a torus of dimension $d\geq 3$ has stable and unstable foliations which are quasi-isometric on the universal cover, and its centre 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.
2011 ◽
Vol 54
(4)
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pp. 676-679
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2014 ◽
Vol 35
(2)
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pp. 412-430
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2016 ◽
Vol 38
(1)
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pp. 384-400
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2008 ◽
Vol 28
(3)
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pp. 843-862
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