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An extremality property of Jenkins-Strebel differentials
作者姓名:LIU Jinsong Institute of Mathematics  Academy of Mathematics & Systems Science  Chinese Academy of Sciences  Beijing  China
作者单位:LIU Jinsong Institute of Mathematics,Academy of Mathematics & Systems Science,Chinese Academy of Sciences,Beijing 100080,China
摘    要:Given a compact Riemann surface S with finitely many punctures, in this paper we obtain a new extremality property of a Jenkins-Strebel differentialψon S. As a consequence, we obtain the solutions of several kinds of moduli problems on 5.

收稿时间:12 September 2005
修稿时间:15 February 2006

An extremality property of Jenkins-Strebel differentials
LIU Jinsong Institute of Mathematics,Academy of Mathematics & Systems Science,Chinese Academy of Sciences,Beijing ,China.An extremality property of Jenkins-Strebel differentials[J].Science in China(Mathematics),2006,49(8):1094-1102.
Authors:LIU Jinsong
Institution:Institute of Mathematics, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100080, China
Abstract:Given a compact Riemann surface S with finitely many punctures, in this paper we obtain a new extremality property of a Jenkins-Strebel differential φ on S. As a consequence, we obtain the solutions of several kinds of moduli problems on S.
Keywords:Jenkins-Strebel differentials  extremality property  moduli
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