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The geometry of measured geodesic laminations and measured train tracks

Published online by Cambridge University Press:  19 September 2008

Howard Weiss
Howard Weiss
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA
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Abstract

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Thurston and Kerckhoff have shown that the space of measured geodesic laminations on a hyperbolic Riemann surface serves as a non-linear model of the tangent space to Teichmüller space at the surface. In this paper we show that the natural map between these manifolds has stronger than Hölder continuous regularity.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 9 , Issue 3 , September 1989 , pp. 587 - 604
Copyright
Copyright © Cambridge University Press 1989

References

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