An infinite family of hyperbolic 3-manifolds without tight projectively Anosov flows
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913680620257280 |
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| author | Nonino, Isacco |
| author_facet | Nonino, Isacco |
| contents | In this paper we find the first infinite family of hyperbolic 3-manifolds which admit tight contact structures but do not have any tight projectively Anosov flow. These manifolds are obtained as rational surgeries on the figure eight knot. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An infinite family of hyperbolic 3-manifolds without tight projectively Anosov flows Nonino, Isacco Geometric Topology Dynamical Systems In this paper we find the first infinite family of hyperbolic 3-manifolds which admit tight contact structures but do not have any tight projectively Anosov flow. These manifolds are obtained as rational surgeries on the figure eight knot. |
| title | An infinite family of hyperbolic 3-manifolds without tight projectively Anosov flows |
| topic | Geometric Topology Dynamical Systems |
| url | https://arxiv.org/abs/2411.08716 |