An Introduction to the Theory of Higher-dimensional Quasiconformal Mappings (Mathematical Surveys and Monographs) (Mathematical Surveys and Monographs, 216) - Hardcover

Frederick W. Gehring; Gaven J. Martin; Bruce P. Palka

Hardcover

ISBN 10: 0821843605 ISBN 13: 9780821843604

Publisher: American Mathematical Society, 2017

Synopsis

This book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. It is a careful and detailed introduction to the higher-dimensional theory of quasiconformal mappings from the geometric viewpoint, based primarily on the technique of the conformal modulus of a curve family. Notably, the final chapter describes the application of quasiconformal mapping theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background. This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.

About this title

About the Author

Frederick W. Gehring, and Gaven J. Martin, Massey University, Auckland, New Zealand. Bruce P. Palka, National Science Foundation, Arlington, VA.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2017
• Language: English
• ISBN 10: 0821843605
• ISBN 13: 9780821843604
• Binding: Hardcover
• Number of pages: 430