A characterization of chains in dimension three
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866907892860321792 |
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| author | Kryński, Wojciech Makhmali, Omid |
| author_facet | Kryński, Wojciech Makhmali, Omid |
| contents | Given a 3-dimensional (para-)CR structure, its family of chains define a 3-dimensional path geometry. We provide necessary and sufficient conditions that determine whether a path geometry in dimension three arises from chains of a CR or para-CR 3-manifold. We demonstrate how our characterization can be verified computationally for a given 3-dimensional path geometry and discuss a few examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_08807 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A characterization of chains in dimension three Kryński, Wojciech Makhmali, Omid Differential Geometry Primary: 53A40, 53B15, 53C15, Secondary: 53A20, 53A55, 34A26, 34A55, 32V99 Given a 3-dimensional (para-)CR structure, its family of chains define a 3-dimensional path geometry. We provide necessary and sufficient conditions that determine whether a path geometry in dimension three arises from chains of a CR or para-CR 3-manifold. We demonstrate how our characterization can be verified computationally for a given 3-dimensional path geometry and discuss a few examples. |
| title | A characterization of chains in dimension three |
| topic | Differential Geometry Primary: 53A40, 53B15, 53C15, Secondary: 53A20, 53A55, 34A26, 34A55, 32V99 |
| url | https://arxiv.org/abs/2303.08807 |