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Kähler Immersions of Kähler Manifolds into Complex Space Forms

2018-09-20 Mathematics
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Release : 2018-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 832/5 ( reviews)

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Book Synopsis Kähler Immersions of Kähler Manifolds into Complex Space Forms by : Andrea Loi

Download or read book Kähler Immersions of Kähler Manifolds into Complex Space Forms written by Andrea Loi. This book was released on 2018-09-20. 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.

Handbook of Differential Geometry, Volume 1

1999-12-16 Mathematics
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Release : 1999-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 837/5 ( reviews)

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Book Synopsis Handbook of Differential Geometry, Volume 1 by : F.J.E. Dillen

Download or read book Handbook of Differential Geometry, Volume 1 written by F.J.E. Dillen. This book was released on 1999-12-16. 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.

Issues in General and Specialized Mathematics Research: 2013 Edition

2013-05-01 Mathematics
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Release : 2013-05-01
Genre : Mathematics
Kind : eBook
Book Rating : 162/5 ( reviews)

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Book Synopsis Issues in General and Specialized Mathematics Research: 2013 Edition by :

Download or read book Issues in General and Specialized Mathematics Research: 2013 Edition written by . This book was released on 2013-05-01. 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/.

Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 800/5 ( reviews)

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Book Synopsis Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics by : Stancho Dimiev

Download or read book Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics written by Stancho Dimiev. This book was released on 2007. 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.

Prospects in Complex Geometry

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 70X/5 ( reviews)

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Book Synopsis Prospects in Complex Geometry by : Junjiro Noguchi

Download or read book Prospects in Complex Geometry written by Junjiro Noguchi. This book was released on 2006-11-14. 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.

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