Minimal length of two intersecting simple closed geodesics

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dc.creatorGauglhofer, Thomas
dc.creatorParlier, Hugo
dc.date2006-08-02
dc.date2006-08-14
dc.date.accessioned2026-07-07T07:21:17Z
dc.date.available2026-07-07T07:21:17Z
dc.descriptionOn 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 $n\leq 3$.
dc.descriptionTypos corrected
dc.identifierhttps://arxiv.org/abs/math/0608049
dc.identifierhttp://arxiv.org/abs/math/0608049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115249
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject30F45; 30F20
dc.titleMinimal length of two intersecting simple closed geodesics
dc.typetext

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