Differential Analysis On Complex Manifolds

Author : Raymond O. Wells
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 42,5 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 : R. O. Wells
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 52,8 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.O. Wells (Jr.)
Publisher : Unknown
Page : 128 pages
File Size : 55,9 Mb
Release : 1980
Category : Electronic
ISBN : OCLC:472089477

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Differential Analysis on Complex Manifolds by R.O. Wells (Jr.) Pdf

Author : R. O. Wells (jr.)
Publisher : Unknown
Page : 252 pages
File Size : 41,8 Mb
Release : 1973
Category : Electronic
ISBN : OCLC:859811080

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Differential Analysis on Complex Manifolds by R. O. Wells (jr.) Pdf

Author : Fangyang Zheng
Publisher : American Mathematical Soc.
Page : 275 pages
File Size : 40,9 Mb
Release : 2000
Category : Complex manifolds
ISBN : 9780821829608

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Complex Differential Geometry by Fangyang Zheng Pdf

Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.

Author : R. Narasimhan
Publisher : Elsevier
Page : 263 pages
File Size : 53,6 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 : Sorin Dragomir,Giuseppe Tomassini
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 41,8 Mb
Release : 2007-06-10
Category : Mathematics
ISBN : 9780817644833

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Differential Geometry and Analysis on CR Manifolds by Sorin Dragomir,Giuseppe Tomassini Pdf

Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study

Author : Daniel Huybrechts
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 42,5 Mb
Release : 2005
Category : Computers
ISBN : 3540212906

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Complex Geometry by Daniel Huybrechts Pdf

Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Author : Raymond O. Wells
Publisher : Springer
Page : 0 pages
File Size : 55,6 Mb
Release : 2008-11-01
Category : Mathematics
ISBN : 0387520406

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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 : Klaus Fritzsche,Hans Grauert
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 55,8 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 : James A. Morrow,Kunihiko Kodaira
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 49,7 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 : Shiing-shen Chern
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 51,5 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 : Shoshichi Kobayashi
Publisher : Princeton University Press
Page : 317 pages
File Size : 45,7 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781400858682

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Differential Geometry of Complex Vector Bundles by Shoshichi Kobayashi Pdf

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics. Originally published in 1987. 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 : James R. Munkres
Publisher : CRC Press
Page : 381 pages
File Size : 49,5 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9780429962691

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Analysis On Manifolds by James R. Munkres Pdf

A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts.

Author : Robert C. Gunning
Publisher : Princeton University Press
Page : 148 pages
File Size : 51,9 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.