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Nearly Pseudo-Kähler Manifolds and Related Special Holonomies

  • Book
  • © 2017

Overview

Authors:
  1. Lars Schäfer

    1. Institut Differentialgeometrie, Leibniz Universität Hannover, Hannover, Germany

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  • Provides the first self-contained introduction to the field for non-experts, accessible to masters and Ph.D. students starting the subject
  • Helpful for researchers working in high energy physics who want to gain a solid background in the mathematical tools they use
  • Collects recent results on nearly Kähler geometry in signature, which will be of interest to mathematicians who are working in this direction and/or who want to obtain an overview of the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2201)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-vii
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  2. Introduction

    • Lars Schäfer
    Pages 1-15

  3. Preliminaries

    • Lars Schäfer
    Pages 17-40

  4. Nearly Pseudo-Kähler and Nearly Para-Kähler Manifolds

    • Lars Schäfer
    Pages 41-129

  5. Hitchin’s Flow Equations

    • Lars Schäfer
    Pages 131-174

  6. Back Matter

    Pages 175-183
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Keywords

About this book

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.



Reviews

“This monography contains not only results of the author but also related work of other researchers. It provides detailed motivation described in the introduction, appropriate examples for better understanding of theoretical results, as well as applications in other fields, especially in supergravity and string theories.” (Neda Bokan, zbMATH 1380.53004, 2018)  

Authors and Affiliations

  • Institut Differentialgeometrie, Leibniz Universität Hannover, Hannover, Germany

    Lars Schäfer

About the author

  

Bibliographic Information

  • Book Title: Nearly Pseudo-Kähler Manifolds and Related Special Holonomies

  • Authors: Lars Schäfer

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-65807-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Softcover ISBN: 978-3-319-65806-3Published: 15 September 2017

  • eBook ISBN: 978-3-319-65807-0Published: 14 September 2017

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 183

  • Topics: Differential Geometry

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