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Handbook of Pseudo-Riemannian Geometry and Supersymmetry

2010 Geometry, Riemannian
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Release : 2010
Genre : Geometry, Riemannian
Kind : eBook
Book Rating : 791/5 ( reviews)

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Book Synopsis Handbook of Pseudo-Riemannian Geometry and Supersymmetry by : Vicente Cortés

Download or read book Handbook of Pseudo-Riemannian Geometry and Supersymmetry written by Vicente Cortés. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: Special geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy theory Symmetric spaces and spaces of constant curvature Conformal geometry Wave equations on Lorentzian manifolds D-branes and K-theory The intended audience consists of advanced students and researchers working in differential geometry, string theory, and related areas. The emphasis is on geometrical structures occurring on target spaces of supersymmetric field theories. Some of these structures can be fully described in the classical framework of pseudo-Riemannian geometry. Others lead to new concepts relating various fields of research, such as special Kahler geometry or generalized geometry.

HANDBOOK OF PSEUDO-RIEMANNIAN GEOMETRY AND SUPERSYMMETRY.

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Book Rating : 796/5 ( reviews)

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Book Synopsis HANDBOOK OF PSEUDO-RIEMANNIAN GEOMETRY AND SUPERSYMMETRY. by : VICENTE CORTES.

Download or read book HANDBOOK OF PSEUDO-RIEMANNIAN GEOMETRY AND SUPERSYMMETRY. written by VICENTE CORTES.. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Special Metrics and Supersymmetry

2009-02-25 Mathematics
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Release : 2009-02-25
Genre : Mathematics
Kind : eBook
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Book Synopsis Special Metrics and Supersymmetry by : Luis Carlos de Andrés

Download or read book Special Metrics and Supersymmetry written by Luis Carlos de Andrés. This book was released on 2009-02-25. Available in PDF, EPUB and Kindle. Book excerpt: All papers have been peer-reviewed. This volume includes the contributions to the International Workshop on Geometry and Physics: Special Metrics and Supersymmetry, held at the University of the Basque Country, Bilbao (Spain), from May 29 to 31, 2008. The topics covered by the volume deal with leading aspects of algebraic and differential geometry with special emphasis to their potential applications in supersymmetry and string theories. The areas covered by the proceedings are algebraic geometry, differential geometry and mathematical physics. In greater detail, they cover outstanding topics such as homological mirror symmetry, generalized Hodge theory, coassociative submanifolds, special geometric structures, geometric structures, Killing spinors, torsion geometry, string theory, supersymmetry and T-duality, among others.

Nearly Pseudo-Kähler Manifolds and Related Special Holonomies

2017-09-14 Mathematics
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Release : 2017-09-14
Genre : Mathematics
Kind : eBook
Book Rating : 077/5 ( reviews)

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Book Synopsis Nearly Pseudo-Kähler Manifolds and Related Special Holonomies by : Lars Schäfer

Download or read book Nearly Pseudo-Kähler Manifolds and Related Special Holonomies written by Lars Schäfer. This book was released on 2017-09-14. Available in PDF, EPUB and Kindle. Book excerpt: Developing and providing an overview of recent results on nearly Kähler geometry on pseudo-Riemannian manifolds, this monograph emphasizes the differences with the classical Riemannian geometry setting. The focal objects of the text are related to special holonomy and Killing spinors and have applications in high energy physics, such as supergravity and string theory. Before starting into the field, a self-contained introduction to the subject is given, aimed at students with a solid background in differential geometry. The book will therefore be accessible to masters and Ph.D. students who are beginning work on nearly Kähler geometry in pseudo-Riemannian signature, and also to non-experts interested in gaining an overview of the subject. Moreover, a number of results and techniques are provided which will be helpful for differential geometers as well as for high energy physicists interested in the mathematical background of the geometric objects they need.

Geometry of Cauchy-Riemann Submanifolds

2016-05-31 Mathematics
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Release : 2016-05-31
Genre : Mathematics
Kind : eBook
Book Rating : 163/5 ( reviews)

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Book Synopsis Geometry of Cauchy-Riemann Submanifolds by : Sorin Dragomir

Download or read book Geometry of Cauchy-Riemann Submanifolds written by Sorin Dragomir. This book was released on 2016-05-31. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds. Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.

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