Minimal length of two intersecting simple closed geodesics

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On a hyperbolic Riemann surface, given two simple closed geodesics that intersect $n$ times, we address the question of a sharp lower bound $L_n$ on the length attained by the longest of the two geodesics. We show the existence of a surface $S_n$ on which there exists two simple closed geodesics of length $L_n$ intersecting $n$ times and explicitly find $L_n$ for $n\leq 3$.
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Differential Geometry, Geometric Topology, 30F45; 30F20

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http://salesiana.dossiersoluciones.com/handle/123456789/115249

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608049
 http://arxiv.org/abs/math/0608049

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arXiv