Bi-geodesic mappings between hyperbolic surfaces with boundary
Geometric Topology
2025-03-25 v1 Metric Geometry
Abstract
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.
Cite
@article{arxiv.2503.18716,
title = {Bi-geodesic mappings between hyperbolic surfaces with boundary},
author = {Wen Yang},
journal= {arXiv preprint arXiv:2503.18716},
year = {2025}
}
Comments
23 pages, 17 figures