Bi-geodesic mappings between hyperbolic surfaces with boundary

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-24
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

Bi-geodesic mappings between hyperbolic surfaces with boundary

ArXiv.org
Geometric and Algebraic Topology
article

Bi-geodesic mappings between hyperbolic surfaces with boundary

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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.

ArXiv.org
Openalex Percentile: Top 42%
Geometric and Algebraic Topology
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Bi-geodesic mappings between hyperbolic surfaces with boundary · ArXiv.org (2025) | TGRS Research Map | TGRS