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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.11302 |
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| _version_ | 1866917699904339968 |
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| author | Bonthonneau, Yannick Guedes |
| author_facet | Bonthonneau, Yannick Guedes |
| contents | In a recent paper, Chen, Erchenko and Gogolev have proven that if a Riemannian manifold with boundary has hyperbolic geodesic trapped set, then it can be embedded into a compact manifold whose geodesic flow is Anosov. They have to introduce some assumptions that we discuss here. We explain how some can be removed, obtaining in particular a result applicable to all reasonable 3 dimensional examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11302 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Extending a result of Chen, Erchenko and Gogolev Bonthonneau, Yannick Guedes Differential Geometry Dynamical Systems In a recent paper, Chen, Erchenko and Gogolev have proven that if a Riemannian manifold with boundary has hyperbolic geodesic trapped set, then it can be embedded into a compact manifold whose geodesic flow is Anosov. They have to introduce some assumptions that we discuss here. We explain how some can be removed, obtaining in particular a result applicable to all reasonable 3 dimensional examples. |
| title | Extending a result of Chen, Erchenko and Gogolev |
| topic | Differential Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2309.11302 |