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.
ক্যাটাগোরিগুলো:
সাল:
1999
সংস্করণ:
First Edition
প্রকাশক:
American Mathematical Society
ভাষা:
english
পৃষ্ঠা:
372
ISBN 10:
0821819836
ISBN 13:
9780821819838
বইয়ের সিরিজ:
Mathematical Surveys and Monographs
ফাইল:
PDF, 36.70 MB
IPFS:
,
english, 1999