Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds

Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
Title Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds PDF eBook
Author John M. Lee
Publisher American Mathematical Soc.
Pages 98
Release 2006
Genre Mathematics
ISBN 0821839152

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"Volume 183, number 864 (end of volume)."

Perspectives in Riemannian Geometry

Perspectives in Riemannian Geometry
Title Perspectives in Riemannian Geometry PDF eBook
Author Vestislav Apostolov
Publisher American Mathematical Soc.
Pages 264
Release 2006
Genre Mathematics
ISBN 0821838520

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Special geometries as well as the relation between curvature and topology have always been of interest to differential geometers. More recently, these topics have turned out to be of use in physical problems related to string theory as well. This volume provides a unique and thorough survey on the latest developments on Riemannian geometry, special geometrical structures on manifolds, and their interactions with other fields such as mathematical physics, complex analysis, andalgebraic geometry. This volume presents ten papers written by participants of the ``Short Program on Riemannian Geometry,'' a workshop held at the CRM in Montreal in 2004. It will be a valuable reference for graduate students and research mathematicians alike. Information for our distributors: Titles inthis series are copublished with the Centre de Recherches Mathematiques.

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition
Title Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition PDF eBook
Author
Publisher ScholarlyEditions
Pages 1227
Release 2013-05-01
Genre Mathematics
ISBN 1490107495

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Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms 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 Logic, Operations, and Computational Mathematics and Geometry: 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/.

AdS/CFT Correspondence

AdS/CFT Correspondence
Title AdS/CFT Correspondence PDF eBook
Author Olivier Biquard
Publisher European Mathematical Society
Pages 264
Release 2005
Genre Mathematics
ISBN 9783037190135

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Since its discovery in 1997 by Maldacena, AdS/CFT correspondence has become one of the prime subjects of interest in string theory, as well as one of the main meeting points between theoretical physics and mathematics. On the physical side, it provides a duality between a theory of quantum gravity and a field theory. The mathematical counterpart is the relation between Einstein metrics and their conformal boundaries. The correspondence has been intensively studied, and a lot of progress emerged from the confrontation of viewpoints between mathematics and physics. Written by leading experts and directed at research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of this important area both in theoretical physics and in mathematics. It contains survey articles giving a broad overview of the subject and of the main questions, as well as more specialized articles providing new insight both on the Riemannian side and on the Lorentzian side of the theory.

Complex Analysis and Dynamical Systems IV

Complex Analysis and Dynamical Systems IV
Title Complex Analysis and Dynamical Systems IV PDF eBook
Author Mark Lʹvovich Agranovskiĭ
Publisher American Mathematical Soc.
Pages 314
Release 2011
Genre Mathematics
ISBN 0821851977

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The papers in this volume cover a wide variety of topics in differential geometry, general relativity, and partial differential equations. In addition, there are several articles dealing with various aspects of Lie groups and mathematics physics. Taken together, the articles provide the reader with a panorama of activity in general relativity and partial differential equations, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 553) is devoted to function theory and optimization.

Geometric Complex Analysis

Geometric Complex Analysis
Title Geometric Complex Analysis PDF eBook
Author Jisoo Byun
Publisher Springer
Pages 359
Release 2018-09-08
Genre Mathematics
ISBN 9811316724

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The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds

Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds
Title Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds PDF eBook
Author Raphael Ponge
Publisher American Mathematical Soc.
Pages 150
Release 2008
Genre Mathematics
ISBN 0821841483

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This memoir deals with the hypoelliptic calculus on Heisenberg manifolds, including CR and contact manifolds. In this context the main differential operators at stake include the Hormander's sum of squares, the Kohn Laplacian, the horizontal sublaplacian, the CR conformal operators of Gover-Graham and the contact Laplacian. These operators cannot be elliptic and the relevant pseudodifferential calculus to study them is provided by the Heisenberg calculus of Beals-Greiner andTaylor.