Non-singular flows with twisted saddle orbit on orientable 3-manifolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916236767526912 |
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| author | Pochinka, Olga Shubin, Danila |
| author_facet | Pochinka, Olga Shubin, Danila |
| contents | In this paper we consider non-singular Morse-Smale flows on closed orientable 3-manifolds, under the assumption that among the periodic orbits of the flow there is only one saddle orbit and it is twisted. It is found that any manifold admitting such flows is either a lens space, or a connected sum of a lens space with a projective space, or Seifert manifolds with base sphere and three special layers. A complete topological classification of the described flows is obtained and the number of their equivalence classes on each admissible manifold is calculated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03404 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-singular flows with twisted saddle orbit on orientable 3-manifolds Pochinka, Olga Shubin, Danila Dynamical Systems In this paper we consider non-singular Morse-Smale flows on closed orientable 3-manifolds, under the assumption that among the periodic orbits of the flow there is only one saddle orbit and it is twisted. It is found that any manifold admitting such flows is either a lens space, or a connected sum of a lens space with a projective space, or Seifert manifolds with base sphere and three special layers. A complete topological classification of the described flows is obtained and the number of their equivalence classes on each admissible manifold is calculated. |
| title | Non-singular flows with twisted saddle orbit on orientable 3-manifolds |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2405.03404 |