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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2010
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1012.0795 |
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| _version_ | 1866916923801862144 |
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| author | Lee, Christopher R. Tolman, Susan |
| author_facet | Lee, Christopher R. Tolman, Susan |
| contents | Let $Q$ be a compact, connected $n$-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If $n \neq 3$ is odd, or if $π_1(Q)$ is infinite, we show that the cosphere bundle of $Q$ is equivariantly contactomorphic to the cosphere bundle of the torus $\T^n$. As a consequence, $Q$ is homeomorphic to $\T^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1012_0795 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | Toric integrable geodesic flows in odd dimensions Lee, Christopher R. Tolman, Susan Symplectic Geometry Let $Q$ be a compact, connected $n$-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If $n \neq 3$ is odd, or if $π_1(Q)$ is infinite, we show that the cosphere bundle of $Q$ is equivariantly contactomorphic to the cosphere bundle of the torus $\T^n$. As a consequence, $Q$ is homeomorphic to $\T^n$. |
| title | Toric integrable geodesic flows in odd dimensions |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/1012.0795 |