Lyapunov 1-forms on orbifolds
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911296517046272 |
|---|---|
| author | Valencia, Fabricio |
| author_facet | Valencia, Fabricio |
| contents | We introduce and analyze a notion of smooth Lyapunov 1-form for flows generated by vector fields on orbifolds. Using asymptotic cycles and chain-recurrent sets, we establish topological conditions that guarantee the existence of a Lyapunov 1-form, lying in a prescribed cohomology class, for a given vector field on a compact orbifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01879 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lyapunov 1-forms on orbifolds Valencia, Fabricio Differential Geometry Algebraic Topology Dynamical Systems 22A22, 57R18, 37B25, 37C99 We introduce and analyze a notion of smooth Lyapunov 1-form for flows generated by vector fields on orbifolds. Using asymptotic cycles and chain-recurrent sets, we establish topological conditions that guarantee the existence of a Lyapunov 1-form, lying in a prescribed cohomology class, for a given vector field on a compact orbifold. |
| title | Lyapunov 1-forms on orbifolds |
| topic | Differential Geometry Algebraic Topology Dynamical Systems 22A22, 57R18, 37B25, 37C99 |
| url | https://arxiv.org/abs/2512.01879 |