Geometry And Analysis On Complex Manifolds

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Differential Analysis on Complex Manifolds

Raymond O. Wells
Differential Analysis on Complex Manifolds Book PDF

Author : Raymond O. Wells
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 42,7 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.

Differential Analysis on Complex Manifolds

R. O. Wells
Differential Analysis on Complex Manifolds Book PDF

Author : R. O. Wells
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 44,5 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

Complex Differential Geometry

Fangyang Zheng
Complex Differential Geometry Book PDF

Author : Fangyang Zheng
Publisher : American Mathematical Soc.
Page : 275 pages
File Size : 48,7 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.

Complex Geometry

Daniel Huybrechts
Complex Geometry Book PDF

Author : Daniel Huybrechts
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 53,7 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)

Differential Geometry and Analysis on CR Manifolds

Sorin Dragomir,Giuseppe Tomassini
Differential Geometry and Analysis on CR Manifolds Book PDF

Author : Sorin Dragomir,Giuseppe Tomassini
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 41,7 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

Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday

Toshiki Mabuchi,J Noguchi,T Ochiai
Geometry And Analysis On Complex Manifolds Festschrift For S Kobayashi s 60th Birthday Book PDF

Author : Toshiki Mabuchi,J Noguchi,T Ochiai
Publisher : World Scientific
Page : 261 pages
File Size : 43,5 Mb
Release : 1994-12-09
Category : Mathematics
ISBN : 9789814501224

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Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday by Toshiki Mabuchi,J Noguchi,T Ochiai Pdf

This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein-Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kähler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.

Geometry and Analysis on Complex Manifolds

Toshiki Mabuchi,Junjir? Noguchi,Takushiro Ochiai
Geometry and Analysis on Complex Manifolds Book PDF

Author : Toshiki Mabuchi,Junjir? Noguchi,Takushiro Ochiai
Publisher : World Scientific
Page : 268 pages
File Size : 42,5 Mb
Release : 1994
Category : Mathematics
ISBN : 9810220677

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Geometry and Analysis on Complex Manifolds by Toshiki Mabuchi,Junjir? Noguchi,Takushiro Ochiai Pdf

This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein–Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kähler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.

Complex Manifolds without Potential Theory

Shiing-shen Chern
Complex Manifolds without Potential Theory Book PDF

Author : Shiing-shen Chern
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 44,5 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#

Analysis on Real and Complex Manifolds

R. Narasimhan
Analysis on Real and Complex Manifolds Book PDF

Author : R. Narasimhan
Publisher : Elsevier
Page : 263 pages
File Size : 46,5 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.

Differential Analysis on Complex Manifolds

Raymond O'Neil Wells
Differential Analysis on Complex Manifolds Book PDF

Author : Raymond O'Neil Wells
Publisher : Unknown
Page : 260 pages
File Size : 43,7 Mb
Release : 1980
Category : Complex manifolds
ISBN : 3540904190

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Differential Analysis on Complex Manifolds by Raymond O'Neil 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.

From Holomorphic Functions to Complex Manifolds

Klaus Fritzsche,Hans Grauert
From Holomorphic Functions to Complex Manifolds Book PDF

Author : Klaus Fritzsche,Hans Grauert
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 48,9 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.

Complex Manifolds and Deformation of Complex Structures

K. Kodaira
Complex Manifolds and Deformation of Complex Structures Book PDF

Author : K. Kodaira
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461385905

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Complex Manifolds and Deformation of Complex Structures by K. Kodaira Pdf

This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).

Complex Manifolds

Steven Bell,J.-L. Brylinski,A.T. Huckleberry,R. Narasimhan,C. Okonek,Georg Schumacher,A. Van de Ven,S. Zucker
Complex Manifolds Book PDF

Author : Steven Bell,J.-L. Brylinski,A.T. Huckleberry,R. Narasimhan,C. Okonek,Georg Schumacher,A. Van de Ven,S. Zucker
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 51,6 Mb
Release : 1997-12-11
Category : Mathematics
ISBN : 3540629955

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Complex Manifolds by Steven Bell,J.-L. Brylinski,A.T. Huckleberry,R. Narasimhan,C. Okonek,Georg Schumacher,A. Van de Ven,S. Zucker Pdf

The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a guide to the many mathematical ideas related to its theme.

Complex Manifolds

James A. Morrow,Kunihiko Kodaira
Complex Manifolds Book PDF

Author : James A. Morrow,Kunihiko Kodaira
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 55,7 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.

Complex Analysis and Algebraic Geometry

Kunihiko Kodaira,W. L. Jr Baily,T. Shioda
Complex Analysis and Algebraic Geometry Book PDF

Author : Kunihiko Kodaira,W. L. Jr Baily,T. Shioda
Publisher : CUP Archive
Page : 424 pages
File Size : 52,6 Mb
Release : 1977
Category : Mathematics
ISBN : 0521217776

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Complex Analysis and Algebraic Geometry by Kunihiko Kodaira,W. L. Jr Baily,T. Shioda Pdf

The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.