Quasi-Fuchsian flows and the coupled vortex equations
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912875941986304 |
|---|---|
| author | Cekić, Mihajlo Paternain, Gabriel P. |
| author_facet | Cekić, Mihajlo Paternain, Gabriel P. |
| contents | We provide an alternative construction of the quasi-Fuchsian flows introduced by Ghys in \cite{Ghys-92}. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric uniquely determined by a conformal class and a holomorphic quadratic differential. We also give formulas for the marked length spectrum of a quasi-Fuchsian flow in the thermostat parametrization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10591 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-Fuchsian flows and the coupled vortex equations Cekić, Mihajlo Paternain, Gabriel P. Dynamical Systems Analysis of PDEs Differential Geometry We provide an alternative construction of the quasi-Fuchsian flows introduced by Ghys in \cite{Ghys-92}. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric uniquely determined by a conformal class and a holomorphic quadratic differential. We also give formulas for the marked length spectrum of a quasi-Fuchsian flow in the thermostat parametrization. |
| title | Quasi-Fuchsian flows and the coupled vortex equations |
| topic | Dynamical Systems Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2501.10591 |