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arXiv · 1905.04145

On Geodesic Triangles in Hyperbolic Plane

Rita Gitik
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Abstract

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

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Rita Gitik. 2019-05-09. On Geodesic Triangles in Hyperbolic Plane. https://arxiv.org/abs/1905.04145

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