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Catalogue Information
Field name	Details
Dewey Class	515.96
Title	Conformal Geometry and Quasiregular Mappings ([EBook] /) / by Matti Vuorinen.
Author	Vuorinen, Matti
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1988.
Physical Details	XXII, 214 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1319
ISBN	9783540392071
Summary Note	This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical two-dimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the two-dimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems.:
Contents note	Conformal geometry -- Modulus and capacity -- Quasiregular mappings -- Boundary behavior.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0077904
Links to Related Works	Subject References: Differential Geometry . Mathematics . Potential Theory . Potential theory (Mathematics) . Authors: Vuorinen, Matti . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.96 .

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Conformal Geometry and Quasiregular Mappings

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