Bi-geodesic mappings between hyperbolic surfaces with boundary

2025/03/24 by Yang, Wen · 1 citation
#51M09 #51M10 #57M50 #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2503.18716

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.

Cited by

• Geodesic-preserving bijections of the Thurston geometries

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