Quasiconformal Teichmuller theory
Frederick P. Gardiner
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
种类:
年:
2000
出版:
First Edition
出版社:
American Mathematical Society
语言:
english
页:
396
ISBN 10:
1219702552
ISBN 13:
9781219702558
系列:
Mathematical Surveys and Monographs 076
文件:
DJVU, 3.03 MB
IPFS:
,
english, 2000