Henri Poincaré and the Uniformization of Riemann Surfaces

  • François BéguinEmail author
Part of the Progress in Mathematical Physics book series (PMP, volume 67)


Uniformization of Riemann surfaces is one of the mathematical problems that have accompanied H. Poincaré all along his mathematical life. I shall evoke six “uniformization theorems” discovered by Poincaré. He proved the first of these six theorems when he was a twenty-six years old assistant professor in Caen, and the last one twenty-six years later, when he was one of the most celebrated scientists in the world.

The present text is in large part extracted from the book that Henri- Paul de Saint-Gervais has written about the history of the uniformization of Riemann surfaces ([St-Gervais2010]).


Modulus Space Riemann Surface Unit Disc Meromorphic Function Liouville Equation 
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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.LAGA Institut GaliléeUniversité Paris NordVilletaneuseFrance

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