On Uniformization Of Complex Manifolds
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On Uniformization Of Complex Manifolds
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Author : Robert C. Gunning
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08
On Uniformization Of Complex Manifolds written by Robert C. Gunning and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Mathematics categories.
The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning discusses the corresponding pseudogroup structures on higher-dimensional complex manifolds, modeled on the theory as developed for Riemann surfaces. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
On Uniformization Of Complex Manifolds
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Author : Robert Clifford Gunning
language : en
Publisher:
Release Date : 1981
On Uniformization Of Complex Manifolds written by Robert Clifford Gunning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Complex Manifolds Foliations And Uniformization
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Author : Marco Brunella
language : en
Publisher:
Release Date : 2011
Complex Manifolds Foliations And Uniformization written by Marco Brunella and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Complex manifolds categories.
Complex Manifolds
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Author : James A. Morrow
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Complex Manifolds written by James A. Morrow 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.
Serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures. Based on lectures given by Kunihiko Kodaira at Stanford University in 1965-1966, this book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Kahler manifolds called Hodge manifolds is algebraic.
Differential Analysis On Complex Manifolds
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Author : R. O. Wells
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Differential Analysis On Complex Manifolds written by R. O. Wells 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 2013-04-17 with Mathematics categories.
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews
Analysis On Real And Complex Manifolds
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Author : R. Narasimhan
language : en
Publisher: Elsevier
Release Date : 1985-12-01
Analysis On Real And Complex Manifolds written by R. Narasimhan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-12-01 with Mathematics categories.
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.
Complex Manifolds Without Potential Theory
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Author : Shiing-shen Chern
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Complex Manifolds Without Potential Theory written by Shiing-shen Chern 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 2013-06-29 with Mathematics categories.
From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#
An Introduction To Real And Complex Manifolds
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Author : Giuliano Sorani
language : en
Publisher:
Release Date : 1969
An Introduction To Real And Complex Manifolds written by Giuliano Sorani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Theory Of Functions On Complex Manifolds
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Author : G. M. Henkin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1984-12-31
Theory Of Functions On Complex Manifolds written by G. M. Henkin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-31 with Mathematics categories.
No detailed description available for "Theory of Functions on Complex Manifolds".
Uniformization Of Riemann Surfaces
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Author : Henri Paul de Saint-Gervais
language : en
Publisher:
Release Date : 2016
Uniformization Of Riemann Surfaces written by Henri Paul de Saint-Gervais and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
In 1907 Paul Koebe and Henri Poincaré almost simultaneously proved the uniformization theorem: Every simply connected Riemann surface is isomorphic to the plane, the open unit disc, or the sphere. It took a whole century to get to the point of stating this theorem and providing a convincing proof of it, relying as it did on prior work of Gauss, Riemann, Schwarz, Klein, Poincaré, and Koebe, among others. The present book offers an overview of the maturation process of this theorem. The evolution of the uniformization theorem took place in parallel with the emergence of modern algebraic geometry, the creation of complex analysis, the first stirrings of functional analysis, and with the flowering of the theory of differential equations and the birth of topology. The uniformization theorem was thus one of the lightning rods of 19th century mathematics. Rather than describe the history of a single theorem, our aim is to return to the original proofs, to look at these through the eyes of modern mathematicians, to enquire as to their correctness, and to attempt to make them rigorous while respecting insofar as possible the state of mathematical knowledge at the time, or, if this should prove impossible, then using modern mathematical tools not available to their authors. This book will be useful to today's mathematicians wishing to cast a glance back at the history of their discipline. It should also provide graduate students with a non-standard approach to concepts of great importance for modern research.