Regularity of limit sets of Anosov representations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866917708310773760 |
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| author | Zhang, Tengren Zimmer, Andrew |
| author_facet | Zhang, Tengren Zimmer, Andrew |
| contents | In this paper we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a differentiable submanifold of projective space with Holder continuous derivatives. We also calculate the optimal value of the Holder constant in terms of the eigenvalue data of the Anosov representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_11021 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Regularity of limit sets of Anosov representations Zhang, Tengren Zimmer, Andrew Differential Geometry 57M05, 20H10, 53B30, 53C50 In this paper we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a differentiable submanifold of projective space with Holder continuous derivatives. We also calculate the optimal value of the Holder constant in terms of the eigenvalue data of the Anosov representation. |
| title | Regularity of limit sets of Anosov representations |
| topic | Differential Geometry 57M05, 20H10, 53B30, 53C50 |
| url | https://arxiv.org/abs/1903.11021 |