Minimal length of two intersecting simple closed geodesics

• Autores: Thomas Gauglhofer, Hugo Parlier
• Localización: Manuscripta mathematica, ISSN 0025-2611, Vol. 122, Nº. 3, 2007, págs. 321-339
• Idioma: inglés
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• Resumen

  • 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 .