Hyperbolic Geometry and Fenchel-Nielsen Coordinates

  • Yoichi Imayoshi
  • Masahiko Taniguchi


In this chapter, we shall discuss some aspects of the hyperbolic geometry on Riemann surfaces which is induced by the Poincaré metric on the unit disk.


Riemann Surface Boundary Component Closed Geodesic Fuchsian Group Hyperbolic Geometry 
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Copyright information

© Springer-Verlag Tokyo 1994

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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