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Univalent Functions And Teichm Uller Spaces


Univalent Functions And Teichm Uller Spaces
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Univalent Functions And Teichmuller Spaces


Univalent Functions And Teichmuller Spaces
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Author : O. Lehto
language : en
Publisher:
Release Date : 1986-12-01

Univalent Functions And Teichmuller Spaces written by O. Lehto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-01 with categories.




Univalent Functions And Teichm Uller Spaces


Univalent Functions And Teichm Uller Spaces
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Author : Olli Lehto
language : en
Publisher:
Release Date : 1987

Univalent Functions And Teichm Uller Spaces written by Olli Lehto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Univalent functions categories.




Weil Petersson Metric On The Universal Teichmuller Space


Weil Petersson Metric On The Universal Teichmuller Space
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Author : Leon Armenovich Takhtadzhi︠a︡n
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Weil Petersson Metric On The Universal Teichmuller Space written by Leon Armenovich Takhtadzhi︠a︡n and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


In this memoir, we prove that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ -- the Hilbert submanifold $T {0 (1)$ -- is a topological group. We define a Weil-Petersson metric on $T(1)$ by Hilbert space inner products on tangent spaces, compute its Riemann curvature tensor, and show that $T(1)$ is a Kahler-Einstein manifold with negative Ricci and sectional curvatures. We introduce and compute Mumford-Miller-Morita characteristic forms for the vertical tangent bundle of the universal Teichmuller curve fibration over the universal Teichmuller space. As an application, we derive Wolpert curvature formulas for the finite-dimensional Teichmuller spaces from the formulas for the universal Teichmuller space. We study in detail the Hilbert manifold structure on $T {0 (1)$ and characterize points on $T {0 (1)$ in terms of Bers and pre-Bers embeddings by proving that the Grunsky operators $B {1 $ and The results of this memoir were presented in our e-prints: Weil-Petersson metric on the universal Teichmuller space I. Curvature properties and Chern forms, arXiv:math.CV/0312172 (2003), and Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping, arXiv:math.CV/0406408 (2004).



Topology And Teichmuller Spaces Proceedings Of The 37th Taniguchi Symposium


Topology And Teichmuller Spaces Proceedings Of The 37th Taniguchi Symposium
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Author : Sadayoshi Kojima
language : en
Publisher: World Scientific
Release Date : 1996-11-09

Topology And Teichmuller Spaces Proceedings Of The 37th Taniguchi Symposium written by Sadayoshi Kojima and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-09 with categories.


This proceedings is a collection of articles on Topology and Teichmüller Spaces. Special emphasis is being put on the universal Teichmüller space, the topology of moduli of algebraic curves, the space of representations of discrete groups, Kleinian groups and Dehn filling deformations, the geometry of Riemann surfaces, and some related topics.



Quasiconformal Mappings Riemann Surfaces And Teichmuller Spaces


Quasiconformal Mappings Riemann Surfaces And Teichmuller Spaces
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Author : Yunping Jiang
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Quasiconformal Mappings Riemann Surfaces And Teichmuller Spaces written by Yunping Jiang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This volume contains the proceedings of the AMS Special Session on Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces, held in honor of Clifford J. Earle, from October 2-3, 2010, in Syracuse, New York. This volume includes a wide range of papers on Teichmuller theory and related areas. It provides a broad survey of the present state of research and the applications of quasiconformal mappings, Riemann surfaces, complex dynamical systems, Teichmuller theory, and geometric function theory. The papers in this volume reflect the directions of research in different aspects of these fields and also give the reader an idea of how Teichmuller theory intersects with other areas of mathematics.



Theory Of Bergman Spaces


Theory Of Bergman Spaces
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Author : Hakan Hedenmalm
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-05-19

Theory Of Bergman Spaces written by Hakan Hedenmalm and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-19 with Mathematics categories.


Fifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely, yet today the situation has completely changed. For several years, research interest and activity have expanded in this area and there are now rich theories describing the Bergman spaces and their operators. This book is a timely treatment of the theory, written by three of the major players in the field.



Invariant Measures For Unitary Groups Associated To Kac Moody Lie Algebras


Invariant Measures For Unitary Groups Associated To Kac Moody Lie Algebras
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Author : Doug Pickrell
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Invariant Measures For Unitary Groups Associated To Kac Moody Lie Algebras written by Doug Pickrell and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


The main purpose of this paper is to prove the existence, and in some cases the uniqueness, of unitarily invariant measures on formal completions of groups associated to affine Kac-Moody algebras, and associated homogeneous spaces. The basic invariant measure is a natural generalization of Haar measure for a simply connected compact Lie group, and its projection to flag spaces is a generalization of the normalized invariant volume element. The other "invariant measures" are actually measures having values in line bundles over these spaces; these bundle-valued measures heuristically arise from coupling the basic invariant measure to Hermitian structures on associated line bundles, but in this infinite dimensional setting they are generally singular with respect to the basic invariant measure.



Quasiconformal Teichmuller Theory


Quasiconformal Teichmuller Theory
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Author : Frederick P. Gardiner
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Quasiconformal Teichmuller Theory written by Frederick P. Gardiner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


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.



Algebraic Geometry


Algebraic Geometry
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Author : Joe Harris
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-09-17

Algebraic Geometry written by Joe Harris and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-17 with Mathematics categories.


This textbook is an introduction to algebraic geometry that emphasizes the classical roots of the subject, avoiding the technical details better treated with the most recent methods. It provides a basis for understanding the developments of the last half century which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard, the book retains an informal style and stresses examples. Annotation copyright by Book News, Inc., Portland, OR



The Complex Analytic Theory Of Teichmuller Spaces


The Complex Analytic Theory Of Teichmuller Spaces
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Author : Subhashis Nag
language : en
Publisher: Wiley-Interscience
Release Date : 1988-03-03

The Complex Analytic Theory Of Teichmuller Spaces written by Subhashis Nag and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-03-03 with Mathematics categories.


An accessible, self-contained treatment of the complex structure of the Teichmüller moduli spaces of Riemann surfaces. Complex analysts, geometers, and especially string theorists (!) will find this work indispensable. The Teichmüller space, parametrizing all the various complex structures on a given surface, itself carries (in a completely natural way) the complex structure of a finite- or infinite-dimensional complex manifold. Nag emphasizes the Bers embedding of Teichmüller spaces and deals with various types of complex-analytic coördinates for them. This is the first book in which a complete exposition is given of the most basic fact that the Bers projection from Beltrami differentials onto Teichmüller space is a complex analytic submersion. The fundamental universal property enjoyed by Teichmüller space is given two proofs and the Bers complex boundary is examined to the point where totally degenerate Kleinian groups make their spectacular appearance. Contains much material previously unpublished.