English

On Geodesic Triangles in Hyperbolic Plane

Group Theory 2019-05-13 v1 Geometric Topology

Abstract

Let M be an orientable hyperbolic surface without boundary and let γ\gamma be a closed geodesic in M. We prove that any side of any triangle formed by distinct lifts of γ\gamma in H2 is shorter than γ\gamma.

Keywords

Cite

@article{arxiv.1905.04145,
  title  = {On Geodesic Triangles in Hyperbolic Plane},
  author = {Rita Gitik},
  journal= {arXiv preprint arXiv:1905.04145},
  year   = {2019}
}
R2 v1 2026-06-23T09:02:50.816Z