Bi-geodesic mappings between hyperbolic surfaces with boundary
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915211612520448 |
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| author | Yang, Wen |
| author_facet | Yang, Wen |
| contents | It is proved that a bijection between two compact hyperbolic surfaces with boundary is an isometry if it and its inverse map each geodesic onto some geodesic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18716 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bi-geodesic mappings between hyperbolic surfaces with boundary Yang, Wen Geometric Topology Metric Geometry 51M09, 51M10, 57M50 It is proved that a bijection between two compact hyperbolic surfaces with boundary is an isometry if it and its inverse map each geodesic onto some geodesic. |
| title | Bi-geodesic mappings between hyperbolic surfaces with boundary |
| topic | Geometric Topology Metric Geometry 51M09, 51M10, 57M50 |
| url | https://arxiv.org/abs/2503.18716 |