Symplectic Geometry of Anosov Flows in Dimension 3 and Bi-Contact Topology
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866916385055047680 |
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| author | Hozoori, Surena |
| author_facet | Hozoori, Surena |
| contents | We give a purely contact and symplectic geometric characterization of Anosov flows in dimension 3 and discuss a framework to use tools from contact and symplectic geometry and topology in the study of Anosov dynamics. We also discuss some uniqueness results regarding the underlying (bi)-contact structures for an Anosov flow and give a characterization of Anosovity based on Reeb flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_02768 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Symplectic Geometry of Anosov Flows in Dimension 3 and Bi-Contact Topology Hozoori, Surena Symplectic Geometry Dynamical Systems Geometric Topology We give a purely contact and symplectic geometric characterization of Anosov flows in dimension 3 and discuss a framework to use tools from contact and symplectic geometry and topology in the study of Anosov dynamics. We also discuss some uniqueness results regarding the underlying (bi)-contact structures for an Anosov flow and give a characterization of Anosovity based on Reeb flows. |
| title | Symplectic Geometry of Anosov Flows in Dimension 3 and Bi-Contact Topology |
| topic | Symplectic Geometry Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2009.02768 |