Uniformization of Riemann Surfaces
Revisiting a hundred-year-old theorem
Henri Paul de Saint-Gervais
Paris
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- Review in MathSciNet“Let us also quote W. Abikoff, from his 1981 survey [Amer. Math. Monthly 88 (1981), no. 8, 574–592; MR0628026]: ‘Research in uniformization theory has gone through several dormant periods since the concept of a (global) uniformization was introduced by Klein in 1882. Uniformization theorems of power unimaginable to the classical masters have been proved in the past twenty years and no end is in sight’. This is confirmed today, in 2011, where the subject is still under very active investigation. The book under review is an excellent reference on this wonderful topic, and it should be a valuable reference for students and for researchers in Riemann surface theory, geometry and topology.” — Athanase Papadopoulos (Strasbourg)
- Review in zbMATH