Sub-actions for geodesic flows on locally CAT(-1) spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914961513512960 |
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| author | Constantine, David Shrestha, Elvin Wu, Yandi |
| author_facet | Constantine, David Shrestha, Elvin Wu, Yandi |
| contents | We extend a result of Lopes and Thieullen on sub-actions for smooth Anosov flows to the setting of geodesic flow on locally CAT(-1) spaces. This allows us to use arguments originally due to Croke and Dairbekov to prove a volume rigidity theorem for some interesting locally CAT(-1) spaces, including quotients of Fuchsian buildings and surface amalgams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00642 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sub-actions for geodesic flows on locally CAT(-1) spaces Constantine, David Shrestha, Elvin Wu, Yandi Dynamical Systems Metric Geometry 37D40 We extend a result of Lopes and Thieullen on sub-actions for smooth Anosov flows to the setting of geodesic flow on locally CAT(-1) spaces. This allows us to use arguments originally due to Croke and Dairbekov to prove a volume rigidity theorem for some interesting locally CAT(-1) spaces, including quotients of Fuchsian buildings and surface amalgams. |
| title | Sub-actions for geodesic flows on locally CAT(-1) spaces |
| topic | Dynamical Systems Metric Geometry 37D40 |
| url | https://arxiv.org/abs/2410.00642 |