Infinitely many closed paths in the graph of Anosov flows
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908905969287168 |
|---|---|
| author | Shannon, Mario |
| author_facet | Shannon, Mario |
| contents | Given an Anosov flow on a closed 3-manifold, we are interested in the problem of whether or not making non-trivial Fried surgeries along a finite set of periodic orbits can produce a flow equivalent to itself. We show that for some suspension Anosov flows, there exist infinitely many pairs of periodic orbits satisfying this property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23551 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinitely many closed paths in the graph of Anosov flows Shannon, Mario Dynamical Systems Geometric Topology Given an Anosov flow on a closed 3-manifold, we are interested in the problem of whether or not making non-trivial Fried surgeries along a finite set of periodic orbits can produce a flow equivalent to itself. We show that for some suspension Anosov flows, there exist infinitely many pairs of periodic orbits satisfying this property. |
| title | Infinitely many closed paths in the graph of Anosov flows |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2410.23551 |