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ON THE EXISTENCE OF JENKINS–STREBEL DIFFERENTIALS

Published online by Cambridge University Press:  28 April 2004

JINSONG LIU
JINSONG LIU
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, P. R. Chinaliujsong@mail.amss.ac.cn
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Abstract

Let $S$ be a compact Riemann surface of genus ${\rm g}\,{>}\,1$. By using Teichmüller theory, a new approach is obtained to the existence of a Jenkins–Strebel differential with prescribed type and heights on $S$. Moreover, the geometric structures of horizontal trajectories of certain classes of quadratic differentials are discussed.

Keywords

30F3030F6032G15
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 3 , May 2004 , pp. 365 - 377
Copyright
© The London Mathematical Society 2004

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