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Item Details
Title: QUASICONFORMAL TEICHMULLER THEORY
By: Frederick P. Gardiner, Nikola Lakic
Format: Hardback

List price: £113.00


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ISBN 10: 0821819836
ISBN 13: 9780821819838
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 December, 1999
Series: Mathematical Surveys and Monographs No. 76
Pages: 372
Description: The Teichmuller space $T(X)$ is the space of marked conformal structures on a given quasi conformal surface $X$. This book uses quasi conformal mapping to give a unified and up-to-date treatment of $T(X)$. It offers a treatment of deformations of complex structures on infinite Riemann surfaces.
Synopsis: The Teichmuller space $T(X)$ is the space of marked conformal structures on a given quasi conformal surface $X$. This volume uses quasi conformal mapping to give a unified and up-to-date treatment of $T(X)$. Emphasis is placed on parts of the theory applicable to non compact surfaces and to surfaces possibly of infinite analytic type. The book provides a treatment of deformations of complex structures on infinite Riemann surfaces and gives background for further research in many areas. These include applications to fractal geometry, to three-dimensional manifolds through its relationship to Kleinian groups, and to one-dimensional dynamics through its relationship to quasi symmetric mappings. Many research problems in the application of function theory to geometry and dynamics are suggested.
Illustrations: bibliography, index
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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