Geodesic Triangles in H² with Short Sides
DOI:
https://doi.org/10.37256/cm.3420221362Keywords:
hyperbolic surface, Poincaré disc, geodesic, covering space, tree, free groupAbstract
We prove that if M is an orientable hyperbolic surface without boundary (possibly compact, possibly with infinitely generated fundamental group) and γ is a closed geodesic in M then any side of any triangle formed by distinct lifts of γ in H2 is shorter than γ.
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Published
2022-10-17
How to Cite
1.
Gitik R. Geodesic Triangles in H² with Short Sides. Contemp. Math. [Internet]. 2022 Oct. 17 [cited 2024 Apr. 27];3(4):468-72. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/1362
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Research Article