Mathematics > Geometric Topology
[Submitted on 24 Mar 2025
]
Title: Bi-geodesic mappings between hyperbolic surfaces with boundary
Title: 双测地映射在有界双曲曲面之间
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.
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