Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929645547421696 |
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| author | Cekić, Mihajlo Lefeuvre, Thibault Moroianu, Andrei Semmelmann, Uwe |
| author_facet | Cekić, Mihajlo Lefeuvre, Thibault Moroianu, Andrei Semmelmann, Uwe |
| contents | We report on some recent progress achieved in [arXiv:2111.14811] on the ergodicity of the frame flow of negatively-curved Riemannian manifolds. We explain the new ideas leading to ergodicity for nearly $0.25$-pinched manifolds and give perspectives for future work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_08728 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives Cekić, Mihajlo Lefeuvre, Thibault Moroianu, Andrei Semmelmann, Uwe Dynamical Systems Algebraic Topology Differential Geometry 37A05, 37A20, 37A25, 53C10, 53C22 We report on some recent progress achieved in [arXiv:2111.14811] on the ergodicity of the frame flow of negatively-curved Riemannian manifolds. We explain the new ideas leading to ergodicity for nearly $0.25$-pinched manifolds and give perspectives for future work. |
| title | Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives |
| topic | Dynamical Systems Algebraic Topology Differential Geometry 37A05, 37A20, 37A25, 53C10, 53C22 |
| url | https://arxiv.org/abs/2204.08728 |