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On lengths of filling closed geodesics of hyperbolic punctured Riemann spheres
Authors:C Zhang
Institution:Department of Mathematics, Morehouse College, Atlanta, GA 30314, USA
Abstract:Let S be a Riemann sphere with n ≥ 4 points deleted. In this article we investigate certain filling closed geodesics of S and give quantitative common lower bounds for the hyperbolic lengths of those geodesics with respect to any hyperbolic structure on S (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Riemann surfaces  quasiconformal mappings  hyperbolic lengths  filling geodesics  pseudo‐Anosov  Teichmü  ller spaces  Bers fiber spaces
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