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Nearly pseudo-Kähler manifolds and related special holonomies / Lars Schäfer.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 2201.Publisher: Cham, Switzerland : Springer, 2017Description: 1 online resource (vii, 183 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319658070
  • 3319658077
  • 3319658069
  • 9783319658063
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 516/.07 23
LOC classification:
  • QA649
Online resources:
Contents:
Preface -- Chapter 1. Introduction.- Chapter 2. Preliminaries -- Chapter 3. Nearly pseudo-Kähler and nearly para-Kähler manifolds.- Chapter 4. Hitchin's flow equations.- Bibliography.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references and index.

Online resource; title from PDF title page (SpringerLink, viewed September 25, 2017).

Preface -- Chapter 1. Introduction.- Chapter 2. Preliminaries -- Chapter 3. Nearly pseudo-Kähler and nearly para-Kähler manifolds.- Chapter 4. Hitchin's flow equations.- Bibliography.

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.

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