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Scientific article
Open access
English

Minimal length of two intersecting simple closed geodesics

Published inManuscripta mathematica, vol. 122, no. 3, p. 321-339
Collection
  • Open Access - Licence nationale Springer
Publication date2007
Abstract

On a hyperbolic Riemann surface, given two simple closed geodesics that intersect n times, we address the question of a sharp lower bound Ln on the length attained by the longest of the two geodesics. We show the existence of a surface Sn on which there exists two simple closed geodesics of length Ln intersecting n times and explicitly find Ln for n ≤ 3.

Citation (ISO format)
GAUGLHOFER, Thomas, PARLIER, Hugo. Minimal length of two intersecting simple closed geodesics. In: Manuscripta mathematica, 2007, vol. 122, n° 3, p. 321–339. doi: 10.1007/s00229-006-0071-1
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Article (Published version)
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ISSN of the journal0025-2611
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