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Partial hyperbolicity on 3-dimensional nilmanifolds
| 1. | School of Mathematics and Statistics, University of Sydney, NSW, 2006, Australia |
References:
| [1] |
L. Auslander, Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups, Annals of Math., 71 (1960), 579-590. |
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M. Brin, On dynamical coherence, Ergod. Th. and Dynam. Sys., 23 (2003), 395-401.
doi: 10.1017/S0143385702001499. |
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M. Brin, D. Burago and S. Ivanov, Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus, Journal of Modern Dynamics, 3 (2009), 1-11.
doi: 10.3934/jmd.2009.3.1. |
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J. Franks, Anosov diffeomorphisms on tori, Transactions of the American Mathematical Society, 145 (1969), 117-124. |
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J. Franks, Anosov diffeomorphisms, Global Analysis: Proceedings of the Symposia in Pure Mathematics, 14 (1970), 61-93. |
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A. Hammerlindl, "Leaf Conjugacies on the Torus," Ph.D thesis, University of Toronto, 2009. |
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F. Rodriguez Hertz, M. A. Rodriguez Hertz and R. Ures, Partial hyperbolicity and ergodicity in dimension three, Journal of Modern Dynamics, 2 (2008), 187-208.
doi: 10.3934/jmd.2008.2.187. |
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M. Hirsch, C. Pugh and M. Shub, "Invariant Manifolds," 583 of Lecture Notes in Mathematics, Springer-Verlag, 1977. |
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A. Manning, There are no new Anosov diffeomorphisms on tori, Amer. J. Math., 96 (1974), 422-429. |
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K. Parwani, On 3-manifolds that support partially hyperbolic diffeomorphisms, Nonlinearity, 23 (2010), 589-606.
doi: 10.1088/0951-7715/23/3/009. |
show all references
References:
| [1] |
L. Auslander, Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups, Annals of Math., 71 (1960), 579-590. |
| [2] |
M. Brin, On dynamical coherence, Ergod. Th. and Dynam. Sys., 23 (2003), 395-401.
doi: 10.1017/S0143385702001499. |
| [3] |
M. Brin, D. Burago and S. Ivanov, Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus, Journal of Modern Dynamics, 3 (2009), 1-11.
doi: 10.3934/jmd.2009.3.1. |
| [4] |
J. Franks, Anosov diffeomorphisms on tori, Transactions of the American Mathematical Society, 145 (1969), 117-124. |
| [5] |
J. Franks, Anosov diffeomorphisms, Global Analysis: Proceedings of the Symposia in Pure Mathematics, 14 (1970), 61-93. |
| [6] |
A. Hammerlindl, "Leaf Conjugacies on the Torus," Ph.D thesis, University of Toronto, 2009. |
| [7] |
F. Rodriguez Hertz, M. A. Rodriguez Hertz and R. Ures, Partial hyperbolicity and ergodicity in dimension three, Journal of Modern Dynamics, 2 (2008), 187-208.
doi: 10.3934/jmd.2008.2.187. |
| [8] |
M. Hirsch, C. Pugh and M. Shub, "Invariant Manifolds," 583 of Lecture Notes in Mathematics, Springer-Verlag, 1977. |
| [9] |
A. Manning, There are no new Anosov diffeomorphisms on tori, Amer. J. Math., 96 (1974), 422-429. |
| [10] |
K. Parwani, On 3-manifolds that support partially hyperbolic diffeomorphisms, Nonlinearity, 23 (2010), 589-606.
doi: 10.1088/0951-7715/23/3/009. |
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