• Hershel M. Farkas
  • Irwin Kra
Part of the Graduate Texts in Mathematics book series (GTM, volume 71)


This chapter has two purposes. The first and by far the most important is to prove the uniformization theorem for Riemann surfaces. This theorem describes all simply connected Riemann surfaces and hence with the help of topology, all Riemann surfaces.


Harmonic Function Riemann Surface Dirichlet Problem Meromorphic Function Fundamental Domain 


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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Hershel M. Farkas
    • 1
  • Irwin Kra
    • 2
  1. 1.Department of MathematicsThe Hebrew University of JerusalemJerusalemIsrael
  2. 2.Department of MathematicsS.U.N.Y. at Stony BrookStony BrookUSA

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