On Uniformization Of Complex Manifolds

Author : Robert C. Gunning
Publisher : Princeton University Press
Page : 148 pages
File Size : 41,8 Mb
Release : 2015-03-08
Category : Mathematics
ISBN : 9781400869305

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On Uniformization of Complex Manifolds by Robert C. Gunning Pdf

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.

Author : Robert Clifford Gunning
Publisher : Unknown
Page : 141 pages
File Size : 52,5 Mb
Release : 1981
Category : Electronic
ISBN : OCLC:603764562

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On Uniformization of Complex Manifolds by Robert Clifford Gunning Pdf

Author : Marco Brunella
Publisher : Unknown
Page : 297 pages
File Size : 45,9 Mb
Release : 2011
Category : Complex manifolds
ISBN : 2856293581

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Complex manifolds, foliations and uniformization by Marco Brunella Pdf

Author : James A. Morrow,Kunihiko Kodaira
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 46,8 Mb
Release : 2006
Category : Mathematics
ISBN : 9780821840559

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Complex Manifolds by James A. Morrow,Kunihiko Kodaira Pdf

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.

Author : R. O. Wells
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 47,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475739466

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Differential Analysis on Complex Manifolds by R. O. Wells Pdf

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

Author : R. Narasimhan
Publisher : Elsevier
Page : 263 pages
File Size : 52,9 Mb
Release : 1985-12-01
Category : Mathematics
ISBN : 9780080960227

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Analysis on Real and Complex Manifolds by R. Narasimhan Pdf

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.

Author : Shiing-shen Chern
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 44,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781468493443

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Complex Manifolds without Potential Theory by Shiing-shen Chern Pdf

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#

Author : G. M. Henkin,J. Leiterer
Publisher : Walter de Gruyter GmbH & Co KG
Page : 228 pages
File Size : 54,6 Mb
Release : 1984-12-31
Category : Mathematics
ISBN : 9783112721834

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Theory of Functions on Complex Manifolds by G. M. Henkin,J. Leiterer Pdf

No detailed description available for "Theory of Functions on Complex Manifolds".

Author : Giuliano Sorani
Publisher : Unknown
Page : 226 pages
File Size : 43,5 Mb
Release : 1969
Category : Mathematics
ISBN : UOM:39076006354422

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An Introduction to Real and Complex Manifolds by Giuliano Sorani Pdf

Author : Raymond O. Wells
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 42,6 Mb
Release : 2007-10-31
Category : Mathematics
ISBN : 9780387738918

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Differential Analysis on Complex Manifolds by Raymond O. Wells Pdf

A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. 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. Wells’s superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada’s appendix gives an overview of the developments in the field during the decades since the book appeared.

Author : Henri Paul de Saint-Gervais
Publisher : Unknown
Page : 0 pages
File Size : 49,9 Mb
Release : 2016
Category : Curves, Algebraic
ISBN : 3037191457

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Uniformization of Riemann Surfaces by Henri Paul de Saint-Gervais Pdf

In 1907, Paul Koebe and Henri Poincare 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, Poincare, 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, the book aims to return to the original proofs, to look at these through the eyes of modern mathematicians, to inquire as to their correctness, and to attempt to make them rigorous while respecting, as much as possible, the state of mathematical knowledge at the time, or, if this should prove impossible, then to use modern mathematical tools that were not available to the authors of the original proofs. This book will be useful to 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.

Author : Klaus Fritzsche,Hans Grauert
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 44,9 Mb
Release : 2002-04-12
Category : Mathematics
ISBN : 0387953957

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From Holomorphic Functions to Complex Manifolds by Klaus Fritzsche,Hans Grauert Pdf

This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Author : Klaus Fritzsche,Hans Grauert
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468492736

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From Holomorphic Functions to Complex Manifolds by Klaus Fritzsche,Hans Grauert Pdf

This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Author : Athanase Papadopoulos
Publisher : Springer Nature
Page : 469 pages
File Size : 42,7 Mb
Release : 2022-02-18
Category : Mathematics
ISBN : 9783030866952

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Surveys in Geometry I by Athanase Papadopoulos Pdf

The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 44,8 Mb
Release : 2018
Category : Electronic
ISBN : 1571463631

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Uniformization, Riemann-hilbert Correspondence, Calabi-yau Manifolds & Picard-fuchs Equations by Anonim Pdf