Rigidity and quasisymmetric uniformization of Thurston-type maps
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917145543180288 |
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| author | Li, Zhiqiang Pankka, Pekka Zheng, Hanyun |
| author_facet | Li, Zhiqiang Pankka, Pekka Zheng, Hanyun |
| contents | We prove the No Invariant Line Fields conjecture for a class of generalized postcritically-finite branched covers on higher-dimensional Riemannian manifolds. Moreover, we establish a quasisymmetric uniformization theorem for this class of generalized postcritically-finite maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigidity and quasisymmetric uniformization of Thurston-type maps Li, Zhiqiang Pankka, Pekka Zheng, Hanyun Dynamical Systems Complex Variables Metric Geometry Primary: 37F10, Secondary: 30C65, 30L10, 37F15, 37F20, 37F31 We prove the No Invariant Line Fields conjecture for a class of generalized postcritically-finite branched covers on higher-dimensional Riemannian manifolds. Moreover, we establish a quasisymmetric uniformization theorem for this class of generalized postcritically-finite maps. |
| title | Rigidity and quasisymmetric uniformization of Thurston-type maps |
| topic | Dynamical Systems Complex Variables Metric Geometry Primary: 37F10, Secondary: 30C65, 30L10, 37F15, 37F20, 37F31 |
| url | https://arxiv.org/abs/2501.00434 |