Toric integrable geodesic flows in odd dimensions
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2010
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916923801862144 |
|---|---|
| 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 |