ENGLISH

Quasiconformal Teichmuller Theory

By Frederick P. Gardiner

Book information

Publisher
American Mathematical Society
Year
1999
ISBN
0821819836, 9780821819838
Language
english
Format
PDF
Filesize
37 MB (38484183 bytes)
Series
Mathematical Surveys and Monographs
Edition
First Edition
Pages
372\396
Orientation
yes
Scanned
yes
Time added
2014-05-29 13:46:30

Description

The Teichmuller space $T(X)$ is the space of marked conformal structures on a given quasiconformal surface $X$. This volume uses quasiconformal mapping to give a unified and up-to-date treatment of $T(X)$. Emphasis is placed on parts of the theory applicable to noncompact 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 quasisymmetric mappings. Many research problems in the application of function theory to geometry and dynamics are suggested.

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