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Author : HENKIN
Publisher : Birkhäuser
ISBN 13 : 3034865376
Total Pages : 227 pages
Book Rating : 4.0/5 (348 download)
Download or read book Theory of Functions on Complex Manifolds written by HENKIN and published by Birkhäuser. This book was released on 2013-11-21 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. M. Henkin
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112721837
Total Pages : 228 pages
Book Rating : 4.1/5 (127 download)
Download or read book Theory of Functions on Complex Manifolds written by G. M. Henkin and published by Walter de Gruyter GmbH & Co KG. This book was released on 1984-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Theory of Functions on Complex Manifolds".
Author : Klaus Fritzsche
Publisher : Springer Science & Business Media
ISBN 13 : 146849273X
Total Pages : 406 pages
Book Rating : 4.4/5 (684 download)
Download or read book From Holomorphic Functions to Complex Manifolds written by Klaus Fritzsche and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Gennadi Henkin
Publisher :
ISBN 13 : 9780817614775
Total Pages : 226 pages
Book Rating : 4.6/5 (147 download)
Download or read book Theory of Functions on Complex Manifolds written by Gennadi Henkin and published by . This book was released on 1984 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shiing-shen Chern
Publisher : Springer Science & Business Media
ISBN 13 : 1468493442
Total Pages : 158 pages
Book Rating : 4.4/5 (684 download)
Download or read book Complex Manifolds without Potential Theory written by Shiing-shen Chern and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : R. O. Wells
Publisher : Springer Science & Business Media
ISBN 13 : 147573946X
Total Pages : 269 pages
Book Rating : 4.4/5 (757 download)
Download or read book Differential Analysis on Complex Manifolds written by R. O. Wells and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : K. Kodaira
Publisher : Springer Science & Business Media
ISBN 13 : 1461385903
Total Pages : 476 pages
Book Rating : 4.4/5 (613 download)
Download or read book Complex Manifolds and Deformation of Complex Structures written by K. Kodaira and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Author : Mike Field
Publisher : Cambridge University Press
ISBN 13 : 9780521288880
Total Pages : 224 pages
Book Rating : 4.2/5 (888 download)
Download or read book Several Complex Variables and Complex Manifolds written by Mike Field and published by Cambridge University Press. This book was released on 1982 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.
Author : Daniel Huybrechts
Publisher : Springer Science & Business Media
ISBN 13 : 9783540212904
Total Pages : 336 pages
Book Rating : 4.2/5 (129 download)
Download or read book Complex Geometry written by Daniel Huybrechts and published by Springer Science & Business Media. This book was released on 2005 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Franc Forstnerič
Publisher : Springer
ISBN 13 : 3319610589
Total Pages : 569 pages
Book Rating : 4.3/5 (196 download)
Download or read book Stein Manifolds and Holomorphic Mappings written by Franc Forstnerič and published by Springer. This book was released on 2017-09-05 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds. Oka theory is the field of complex analysis dealing with global problems on Stein manifolds which admit analytic solutions in the absence of topological obstructions. The exposition in the present volume focuses on the notion of an Oka manifold introduced by the author in 2009. It explores connections with elliptic complex geometry initiated by Gromov in 1989, with the Andersén-Lempert theory of holomorphic automorphisms of complex Euclidean spaces and of Stein manifolds with the density property, and with topological methods such as homotopy theory and the Seiberg-Witten theory. Researchers and graduate students interested in the homotopy principle in complex analysis will find this book particularly useful. It is currently the only work that offers a comprehensive introduction to both the Oka theory and the theory of holomorphic automorphisms of complex Euclidean spaces and of other complex manifolds with large automorphism groups.
Author : Henri Cartan
Publisher : Courier Corporation
ISBN 13 : 0486318672
Total Pages : 242 pages
Book Rating : 4.4/5 (863 download)
Download or read book Elementary Theory of Analytic Functions of One or Several Complex Variables written by Henri Cartan and published by Courier Corporation. This book was released on 2013-04-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Author : James A. Morrow
Publisher : American Mathematical Soc.
ISBN 13 : 082184055X
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)
Download or read book Complex Manifolds written by James A. Morrow and published by American Mathematical Soc.. This book was released on 2006 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Steven Bell
Publisher : Springer Science & Business Media
ISBN 13 : 9783540629955
Total Pages : 324 pages
Book Rating : 4.6/5 (299 download)
Download or read book Complex Manifolds written by Steven Bell and published by Springer Science & Business Media. This book was released on 1997-12-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Robert C. Gunning
Publisher : Princeton University Press
ISBN 13 : 1400869307
Total Pages : 148 pages
Book Rating : 4.4/5 (8 download)
Download or read book On Uniformization of Complex Manifolds written by Robert C. Gunning and published by Princeton University Press. This book was released on 2015-03-08 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : R. Narasimhan
Publisher : Elsevier
ISBN 13 : 0080960227
Total Pages : 263 pages
Book Rating : 4.0/5 (89 download)
Download or read book Analysis on Real and Complex Manifolds written by R. Narasimhan and published by Elsevier. This book was released on 1985-12-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Toshiki Mabuchi
Publisher : World Scientific
ISBN 13 : 9814501220
Total Pages : 261 pages
Book Rating : 4.8/5 (145 download)
Download or read book Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday written by Toshiki Mabuchi and published by World Scientific. This book was released on 1994-12-09 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Raymond O. Wells
Publisher : Springer Science & Business Media
ISBN 13 : 0387738916
Total Pages : 315 pages
Book Rating : 4.3/5 (877 download)
Download or read book Differential Analysis on Complex Manifolds written by Raymond O. Wells and published by Springer Science & Business Media. This book was released on 2007-10-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
