ISBN: Ostalo
Godina izdanja: 2000
Jezik: Engleski
Oblast: Matematika
Autor: Strani

SV 19
63415) Quasiconformal Teichmuller Theory , Frederick P. Gardiner , Nikola Lakic , American Mathematical Society 2000 ;
Mathematical Surveys and Monographs Volume: 76

The Teichmüller 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.

Readership
Graduate students, research and applied mathematicians and physicists interested in functions of a complex variable, several complex variables and analytic spaces, particularly mathematical foundations of deformation theory.
Chapters
1. Quasiconformal mapping
2. Riemann surfaces
3. Quadratic differentials, Part I
4. Quadratic differentials, Part II
5. Teichmüller equivalence
6. The Bers embedding
7. Kobayashi’s metric on Teichmüller space
8. Isomorphisms and automorphisms
9. Teichmüller uniqueness
10. The mapping class group
11. Jenkins-Strebel differentials
12. Measured foliations
13. Obstacle problems
14. Asymptotic Teichmüller space
15. Asymptotically extremal maps
16. Universal Teichmüller space
17. Substantial boundary points
18. Earthquake mappings
odlično očuvano, engleski jezik, tvrd povez, format 18,5 x 26 cm , 372 strane