ENGLISH

Quasiconformal Teichmuller theory

By Frederick P. Gardiner

Book information

Publisher
American Mathematical Society
Year
2000
ISBN
0-8218-1983-6, 9780821819838, 12-1970-255-2, 222-161-169-1
Language
english
Format
DJVU
Filesize
3 MB (3181893 bytes)
Series
Mathematical Surveys and Monographs 076
Edition
First Edition
Pages
396\396
Library
kolxoz
DPI
600
Time added
2015-12-12 14:00:00

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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