On Geodesic Triangles in Hyperbolic Plane
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🧮 math.GR
math.GT
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gammageodesichyperbolicboundarycloseddistinctformedlifts
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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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