Differential Geometry And Complex Analysis
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| Author | : Fangyang Zheng |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 275 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 0821829602 |
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 | : Daniel Huybrechts |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 336 |
| Release | : 2005 |
| Genre | : Computers |
| ISBN | : 9783540212904 |
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 | : Klaus Fritzsche |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 406 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 146849273X |
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 | : Sorin Dragomir |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 499 |
| Release | : 2007-06-10 |
| Genre | : Mathematics |
| ISBN | : 0817644830 |
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 | : Raymond O. Wells |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 315 |
| Release | : 2007-10-31 |
| Genre | : Mathematics |
| ISBN | : 0387738916 |
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 | : Steven G. Krantz |
| Publisher | : Cambridge University Press |
| Total Pages | : 252 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 9780883850350 |
Advanced textbook on central topic of pure mathematics.
| Author | : Stancho Dimiev |
| Publisher | : World Scientific |
| Total Pages | : 248 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9812704191 |
The Sixth International Workshop on Complex Structures and Vector Fields was a continuation of the previous five workshops (1992, 1994, 1996, 1998, 2000) on similar research projects. This series of workshops aims at higher achievements in studies of new research subjects. The present volume will meet with the satisfaction of many readers.
| Author | : Wolfgang Ebeling |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 424 |
| Release | : 2011-06-27 |
| Genre | : Mathematics |
| ISBN | : 3642203000 |
This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universität Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.
| Author | : Raymond O. Wells, Jr. |
| Publisher | : Springer |
| Total Pages | : 320 |
| Release | : 2017-08-01 |
| Genre | : Mathematics |
| ISBN | : 3319581848 |
Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century. Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth-century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash. Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.
| Author | : James Carlson |
| Publisher | : Cambridge University Press |
| Total Pages | : 577 |
| Release | : 2017-08-24 |
| Genre | : Mathematics |
| ISBN | : 1108422624 |
An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.
