Moduli of Families of Curves for Conformal and Quasiconformal Mappings (Paperback, 2002 ed.)

The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmüller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmüller spaces.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1788
Release date:	July 2002
First published:	2002
Authors:	Alexander Vasil'ev
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	214
Edition:	2002 ed.
ISBN-13:	978-3-540-43846-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	3-540-43846-7
Barcode:	9783540438465

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