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Author : Julian Ławrynowicz
Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (833 download)
Download or read book Foliations by complex manifolds involving the complex Hessian written by Julian Ławrynowicz and published by . This book was released on 1994 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julian Ławrynowicz
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.3/5 (121 download)
Download or read book Foliations by Complex Manifolds Involving the Complex Hessian written by Julian Ławrynowicz and published by . This book was released on 1994 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alcides Lins Neto
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110602059
Total Pages : 249 pages
Book Rating : 4.1/5 (16 download)
Download or read book Complex Algebraic Foliations written by Alcides Lins Neto and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-02-24 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the theory and utilizing methods from algebraic and complex geometry along with techniques from complex dynamics and several complex variables. The result is a solid introduction to the theory of foliations, covering basic concepts through modern results on the structure of foliations on complex projective spaces.
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 : 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 : Marco Brunella
Publisher :
ISBN 13 : 9782856293584
Total Pages : 297 pages
Book Rating : 4.2/5 (935 download)
Download or read book Complex manifolds, foliations and uniformization written by Marco Brunella and published by . This book was released on 2011 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : B. Shiffman
Publisher : Springer Science & Business Media
ISBN 13 : 1489966803
Total Pages : 183 pages
Book Rating : 4.4/5 (899 download)
Download or read book Vanishing Theorems on Complex Manifolds written by B. Shiffman and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John M. Lee
Publisher : American Mathematical Society
ISBN 13 : 1470476959
Total Pages : 377 pages
Book Rating : 4.4/5 (74 download)
Download or read book Introduction to Complex Manifolds written by John M. Lee and published by American Mathematical Society. This book was released on 2024-05-13 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in many areas of mathematics. This book is an introduction to the concepts, techniques, and main results about complex manifolds (mainly compact ones), and it tells a story. Starting from familiarity with smooth manifolds and Riemannian geometry, it gradually explains what is different about complex manifolds and develops most of the main tools for working with them, using the Kodaira embedding theorem as a motivating project throughout. The approach and style will be familiar to readers of the author's previous graduate texts: new concepts are introduced gently, with as much intuition and motivation as possible, always relating new concepts to familiar old ones, with plenty of examples. The main prerequisite is familiarity with the basic results on topological, smooth, and Riemannian manifolds. The book is intended for graduate students and researchers in differential geometry, but it will also be appreciated by students of algebraic geometry who wish to understand the motivations, analogies, and analytic results that come from the world of differential geometry.
Author :
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.5/5 (445 download)
Download or read book Dissertationes mathematicae written by and published by . This book was released on 1998 with total page 324 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 : Julian Ławrynowicz
Publisher :
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.3/5 (91 download)
Download or read book Generalizations of Complex Analysis and Their Applications in Physics written by Julian Ławrynowicz and published by . This book was released on 1996 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Raymond O. Wells
Publisher : Springer Science & Business Media
ISBN 13 : 0387738924
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 2007-12-06 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.
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 : D. Sundararaman
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.3/5 (91 download)
Download or read book Moduli, Deformations, and Classifications of Compact Complex Manifolds written by D. Sundararaman and published by Pitman Publishing. This book was released on 1980 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lawrence Conlon
Publisher : World Scientific
ISBN 13 : 9814489700
Total Pages : 462 pages
Book Rating : 4.8/5 (144 download)
Download or read book Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop written by Lawrence Conlon and published by World Scientific. This book was released on 2002-02-01 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets.
