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Quasiconformal Maps And Teichm Ller Theory


Quasiconformal Maps And Teichm Ller Theory
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Quasiconformal Maps And Teichm Ller Theory


Quasiconformal Maps And Teichm Ller Theory
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Author : Alastair Fletcher
language : en
Publisher:
Release Date : 2023

Quasiconformal Maps And Teichm Ller Theory written by Alastair Fletcher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Quasiconformal mappings categories.


Based on graduate lectures given by Vladimir Markovic at the University of Warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and Teichmüller theory. It is illustrated with diagrams, examples, and exercises.



Modern Tools In The Theory Of Quasiconformal Maps


Modern Tools In The Theory Of Quasiconformal Maps
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Author : Olli Martio
language : en
Publisher:
Release Date : 2000

Modern Tools In The Theory Of Quasiconformal Maps written by Olli Martio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Quasiconformal mappings categories.




Quasiconformal Teichm Ller Theory


Quasiconformal Teichm Ller Theory
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Author : Frederick P. Gardiner
language : en
Publisher:
Release Date : 2000

Quasiconformal Teichm Ller Theory written by Frederick P. Gardiner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Teichmüller spaces categories.




Rigidity Of Quasiconformal Maps On Carnot Groups


Rigidity Of Quasiconformal Maps On Carnot Groups
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Author : Mark Medwid
language : en
Publisher:
Release Date : 2017

Rigidity Of Quasiconformal Maps On Carnot Groups written by Mark Medwid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Algebras, Linear categories.


Quasiconformal mappings were first utilized by Grotzsch in the 1920's and then later named by Ahlfors in the 1930's. The conformal mappings one studies in complex analysis are locally angle-preserving: they map infinitesimal balls to infinitesimal balls. Quasiconformal mappings, on the other hand, map infinitesimal balls to infinitesimal ellipsoids of a uniformly bounded eccentricity. The theory of quasiconformal mappings is well-developed and studied. For example, quasiconformal mappings on Euclidean space are almost-everywhere differentiable. A result due to Pansu in 1989 illustrated that quasiconformal mappings on Carnot groups are almost-everywhere (Pansu) differentiable, as well. It is easy to show that a biLipschitz map is quasiconformal but the converse does not hold, in general. There are many instances, however, where globally defined quasiconformal mappings on Carnot groups are biLipschitz. In this paper we show that, under certain conditions, a quasiconformal mapping defined on an open subset of a Carnot group is locally biLipschitz. This result is motivated by rigidity results in geometry (for example, the theorem by Mostow in 1968). Along the way we develop background material on geometric group theory and show its connection to quasiconformal mappings.



Quasiconformal Mappings And Teichmuller S Theorem


Quasiconformal Mappings And Teichmuller S Theorem
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Author : Lipman Bers
language : en
Publisher:
Release Date : 2023-07-18

Quasiconformal Mappings And Teichmuller S Theorem written by Lipman Bers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with History categories.




Quasiconformal Mappings


Quasiconformal Mappings
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Author : John Alexander Kalingos
language : en
Publisher:
Release Date : 1975

Quasiconformal Mappings written by John Alexander Kalingos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Conformal mapping categories.




Topics In The Theory Of Quasiconformal Mappings


Topics In The Theory Of Quasiconformal Mappings
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Author : Stephen Browning Agard
language : en
Publisher:
Release Date : 1965

Topics In The Theory Of Quasiconformal Mappings written by Stephen Browning Agard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.




Complex Analysis And Applications


Complex Analysis And Applications
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Author : Yuefei Wang
language : en
Publisher: World Scientific
Release Date : 2006

Complex Analysis And Applications written by Yuefei Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmller theory and Klainian groups, several complex variables, and value distribution theory.



Quasiconformal Mappings


Quasiconformal Mappings
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Author : Roberta Robinson Mielke
language : en
Publisher:
Release Date : 1961

Quasiconformal Mappings written by Roberta Robinson Mielke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Conformal mapping categories.




Quasiconformal Maps Extremal For Their Boundary Values


Quasiconformal Maps Extremal For Their Boundary Values
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Author : Marvin Ortel
language : en
Publisher:
Release Date : 1980

Quasiconformal Maps Extremal For Their Boundary Values written by Marvin Ortel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Quasiconformal mappings categories.