Fenchel-Nielsen Deformations and the Weil-Petersson Metric

  • Yoichi Imayoshi
  • Masahiko Taniguchi


In this chapter, we shall give a beautiful representation, due to S. Wolpert, of the Weil-Petersson fundamental form on T g (g ≥ 2) by using Fenchel-Nielsen coordinates.


Riemann Surface Base Point Tangent Vector Quasiconformal Mapping Quasi Conformal Mapping 
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Copyright information

© Springer-Verlag Tokyo 1992

Authors and Affiliations

  • Yoichi Imayoshi
    • 1
  • Masahiko Taniguchi
    • 2
  1. 1.Department of Mathematics, College of General EducationOsaka UniversityToyonaka, Osaka 560Japan
  2. 2.Department of Mathematics, Faculty of ScienceKyoto UniversitySakyo-ku, Kyoto 606Japan

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