Teichmller Theory and Quadratic Differentials

by Frederick P. Gardiner

Offers a unified treatment of both the modern and the classical aspects of Teichmuller theory. The classical parts of the theory include Teichmuller's theorem on the existence and uniqueness of an extremal quasiconformal mapping in a given homotopy class of mappings between Riemann surfaces, the theorems of Bers and Ahlfors on the completeness of Poincare theta series for general Fuchsian groups and the approximation of integrable holomorphic functions...

• Format: Hardcover
• Language: English
• ISBN: 0471845396
• ISBN13: 9780471845393
• Release Date: August 1987
• Publisher: Wiley-Interscience
• Length: 256 Pages