Theory of Functions on Complex Manifolds
Author: HENKIN
Publisher: Birkhäuser
Published: 2013-11-21
Total Pages: 227
ISBN-13: 3034865376
DOWNLOAD EBOOKRead and Download eBook Full
Author: HENKIN
Publisher: Birkhäuser
Published: 2013-11-21
Total Pages: 227
ISBN-13: 3034865376
DOWNLOAD EBOOKAuthor: Klaus Fritzsche
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 406
ISBN-13: 146849273X
DOWNLOAD EBOOKThis 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: G. M. Henkin
Publisher: Walter de Gruyter GmbH & Co KG
Published: 1984-12-31
Total Pages: 228
ISBN-13: 3112721837
DOWNLOAD EBOOKNo detailed description available for "Theory of Functions on Complex Manifolds".
Author: Gennadi Henkin
Publisher:
Published: 1984
Total Pages: 226
ISBN-13: 9780817614775
DOWNLOAD EBOOKAuthor: Shiing-shen Chern
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 158
ISBN-13: 1468493442
DOWNLOAD EBOOKFrom 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
Published: 2013-04-17
Total Pages: 269
ISBN-13: 147573946X
DOWNLOAD EBOOKIn 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: Mike Field
Publisher: Cambridge University Press
Published: 1982
Total Pages: 224
ISBN-13: 9780521288880
DOWNLOAD EBOOKAnnotation 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: Toshiki Mabuchi
Publisher: World Scientific
Published: 1994-12-09
Total Pages: 261
ISBN-13: 9814501220
DOWNLOAD EBOOKThis 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
Published: 2007-10-31
Total Pages: 315
ISBN-13: 0387738916
DOWNLOAD EBOOKA 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: James A. Morrow
Publisher: American Mathematical Soc.
Published: 2006
Total Pages: 210
ISBN-13: 082184055X
DOWNLOAD EBOOKServes 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.