Kahler Immersions Of Kahler Manifolds Into Complex Space Forms

Author : Andrea Loi
Publisher : Springer
ISBN 13 : 3319994832
Total Pages : 100 pages
Book Rating : 4.33/5 ( download)

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Download or read book Kähler Immersions of Kähler Manifolds into Complex Space Forms written by Andrea Loi and published by Springer. This book was released on 2018-09-20 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to describe Calabi's original work on Kähler immersions of Kähler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems. Calabi's pioneering work, making use of the powerful tool of the diastasis function, allowed him to obtain necessary and sufficient conditions for a neighbourhood of a point to be locally Kähler immersed into a finite or infinite-dimensional complex space form. This led to a classification of (finite-dimensional) complex space forms admitting a Kähler immersion into another, and to decades of further research on the subject. Each chapter begins with a brief summary of the topics to be discussed and ends with a list of exercises designed to test the reader's understanding. Apart from the section on Kähler immersions of homogeneous bounded domains into the infinite complex projective space, which could be skipped without compromising the understanding of the rest of the book, the prerequisites to read this book are a basic knowledge of complex and Kähler geometry.

Author : Werner Ballmann
Publisher : European Mathematical Society
ISBN 13 : 9783037190258
Total Pages : 190 pages
Book Rating : 4.56/5 ( download)

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Download or read book Lectures on Kähler Manifolds written by Werner Ballmann and published by European Mathematical Society. This book was released on 2006 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures the author gave at the University of Bonn and the Erwin Schrodinger Institute in Vienna. The aim is to give a thorough introduction to the theory of Kahler manifolds with special emphasis on the differential geometric side of Kahler geometry. The exposition starts with a short discussion of complex manifolds and holomorphic vector bundles and a detailed account of the basic differential geometric properties of Kahler manifolds. The more advanced topics are the cohomology of Kahler manifolds, Calabi conjecture, Gromov's Kahler hyperbolic spaces, and the Kodaira embedding theorem. Some familiarity with global analysis and partial differential equations is assumed, in particular in the part on the Calabi conjecture. There are appendices on Chern-Weil theory, symmetric spaces, and $L^2$-cohomology.

Author : F.J.E. Dillen
Publisher : Elsevier
ISBN 13 : 0080532837
Total Pages : 1067 pages
Book Rating : 4.37/5 ( download)

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Download or read book Handbook of Differential Geometry, Volume 1 written by F.J.E. Dillen and published by Elsevier. This book was released on 1999-12-16 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490112162
Total Pages : 1919 pages
Book Rating : 4.69/5 ( download)

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Download or read book Issues in General and Specialized Mathematics Research: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1919 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in General and Specialized Mathematics Research: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about General Mathematics. The editors have built Issues in General and Specialized Mathematics Research: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General Mathematics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Author : Stancho Dimiev
Publisher : World Scientific
ISBN 13 : 9812709800
Total Pages : 350 pages
Book Rating : 4.06/5 ( download)

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Download or read book Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics written by Stancho Dimiev and published by World Scientific. This book was released on 2007 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas. Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.

Author : Junjiro Noguchi
Publisher : Springer
ISBN 13 : 354047370X
Total Pages : 431 pages
Book Rating : 4.01/5 ( download)

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Download or read book Prospects in Complex Geometry written by Junjiro Noguchi and published by Springer. This book was released on 2006-11-14 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Teichmüller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years. Thus the central subject of "Complex Structure" was a timely choice for the joint meetings in Katata and Kyoto in 1989. The invited participants exchanged ideas on different approaches to related topics in complex geometry and mapped out the prospects for the next few years of research.

Author : Stancho Dimiev
Publisher : World Scientific
ISBN 13 : 9812704191
Total Pages : 248 pages
Book Rating : 4.91/5 ( download)

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Download or read book Trends in Complex Analysis, Differential Geometry, and Mathematical Physics written by Stancho Dimiev and published by World Scientific. This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Chen Bang-yen
Publisher : World Scientific
ISBN 13 : 9813208945
Total Pages : 516 pages
Book Rating : 4.40/5 ( download)

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Download or read book Differential Geometry Of Warped Product Manifolds And Submanifolds written by Chen Bang-yen and published by World Scientific. This book was released on 2017-05-29 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry — except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson–Walker models, are warped product manifolds. The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson–Walker's and Schwarzschild's. The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century. The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.

Author : Stancho Dimiev
Publisher : World Scientific
ISBN 13 : 9814485454
Total Pages : 248 pages
Book Rating : 4.56/5 ( download)

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Download or read book Trends in Complex Analysis, Differential Geometry and Mathematical Physics written by Stancho Dimiev and published by World Scientific. This book was released on 2003-06-13 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' 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. Contents:Real Analytic Almost Complex Manifolds (L N Apostolova)Involutive Distributions of Codimension One in Kaehler Manifolds (G Ganchev)Three Theorems on Isotropic Immersions (S Maeda)On the Meilikhson Theorem (M S Marinov)Curvature Tensors on Almost Contact Manifolds with B-Metric (G Nakova)Complex Structures and the Quark Confinement (I B Pestov)Curvature Operators in the Relativity (V Videv & Y Tsankov)On Integrability of Almost Quaternionic Manifolds (A Yamada)and other papers Readership: Graduate students and researchers in complex analysis, differential geometry and mathematical physics. Keywords:Poincare Formulae;Oka''s Theorem;Quantum Field Theory;Time-Like Killing Vector Field;Kaehler Immersion;Circle;Integrability of Almost Hermitian Manifold;Hyperocmplex Manifold;Semi-Symmetric Space;Hypercomplex Manifold'

Author : Tatyana Barron
Publisher : Springer
ISBN 13 : 3319942921
Total Pages : 84 pages
Book Rating : 4.26/5 ( download)

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Download or read book Toeplitz Operators on Kähler Manifolds written by Tatyana Barron and published by Springer. This book was released on 2018-07-24 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators on Kähler manifolds, via examples, worked out carefully and in detail. Necessary background is included. Several theorems on asymptotics of Toeplitz operators are reviewed and illustrated by examples, including the case of tori and the 2-dimensional sphere. Applications in the context of multisymplectic and hyperkähler geometry are discussed. The book is suitable for graduate students, advanced undergraduate students, and any researchers.