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ON THE EXISTENCE OF JENKINS–STREBEL DIFFERENTIALS

Published online by Cambridge University Press:  28 April 2004

JINSONG LIU
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, P. R. [email protected]
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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.

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Papers
Copyright
© The London Mathematical Society 2004

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