Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929581077823488 |
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| author | Mamani, Edhin Franklin |
| author_facet | Mamani, Edhin Franklin |
| contents | In this paper we show that a geodesic flow of a compact surface without conjugate points of genus greater than one is time-preserving semi-conjugate to a continuous expansive flow which is topologically mixing and has a local product structure. As an application we show that the geodesic flow of a compact surface without conjugate points of genus greater than one has a unique measure of maximal entropy. This gives an alternative proof of Climenhaga-Knieper-War Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_08091 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors Mamani, Edhin Franklin Dynamical Systems Differential Geometry In this paper we show that a geodesic flow of a compact surface without conjugate points of genus greater than one is time-preserving semi-conjugate to a continuous expansive flow which is topologically mixing and has a local product structure. As an application we show that the geodesic flow of a compact surface without conjugate points of genus greater than one has a unique measure of maximal entropy. This gives an alternative proof of Climenhaga-Knieper-War Theorem. |
| title | Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors |
| topic | Dynamical Systems Differential Geometry |
| url | https://arxiv.org/abs/2309.08091 |