Cohomological equation for geodesic flows on flat surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912662544187392 |
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| author | Forni, Giovanni Moll, Nelson |
| author_facet | Forni, Giovanni Moll, Nelson |
| contents | We prove the existence of solutions of the cohomological equation for the geodesic flow on the unit tangent bundle of a compact flat surface with finitely many cone points. We also prove the ergodicity of the holonomy foliation for surfaces with non-rational holonomy, and the cohomology-free property of the horizontal foliated Laplacian under a simultaneous Diophantine condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomological equation for geodesic flows on flat surfaces Forni, Giovanni Moll, Nelson Dynamical Systems 37A25, 37C83, 37C86, 37D40 We prove the existence of solutions of the cohomological equation for the geodesic flow on the unit tangent bundle of a compact flat surface with finitely many cone points. We also prove the ergodicity of the holonomy foliation for surfaces with non-rational holonomy, and the cohomology-free property of the horizontal foliated Laplacian under a simultaneous Diophantine condition. |
| title | Cohomological equation for geodesic flows on flat surfaces |
| topic | Dynamical Systems 37A25, 37C83, 37C86, 37D40 |
| url | https://arxiv.org/abs/2510.18128 |