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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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Table of 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 $\T^n$.