Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909429176205312 |
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| author | Gu, Ruihao Li, Wenchao |
| author_facet | Gu, Ruihao Li, Wenchao |
| contents | Under some non-invertibility and irreducibility condition, for nilmanifold Anosov maps with one-dimensional stable bundle, we get the equivalence among the existence of invariant unstable bundle, the existence of topological conjugacy to its linear part, and a constant periodic stable Lyapunov exponent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms Gu, Ruihao Li, Wenchao Dynamical Systems 37D20 Under some non-invertibility and irreducibility condition, for nilmanifold Anosov maps with one-dimensional stable bundle, we get the equivalence among the existence of invariant unstable bundle, the existence of topological conjugacy to its linear part, and a constant periodic stable Lyapunov exponent. |
| title | Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms |
| topic | Dynamical Systems 37D20 |
| url | https://arxiv.org/abs/2404.04196 |