Quasiconformal Teichmuller Theory

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Quasiconformal Teichmuller Theory

Quasiconformal Teichmuller Theory

Name: Quasiconformal Teichmuller Theory
ISBN: 9780821819838

Frederick P. Gardiner

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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.

Категории:

Mathematics

Година:

1999

Издание:

First Edition

Издателство:

American Mathematical Society

Език:

english

Страници:

372