Nearly Pseudo-Kähler Manifolds and Related Special Holonomies

  • Lars Schäfer

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

Table of contents

  1. Front Matter
    Pages i-vii
  2. Lars Schäfer
    Pages 1-15
  3. Lars Schäfer
    Pages 17-40
  4. Lars Schäfer
    Pages 131-174
  5. Back Matter
    Pages 175-183

About this book

Introduction

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.

Keywords

Nearly Kähler Manifolds Special Holonomy Semi-Riemannian Metrics Almost Complex Geometries Twistor Spaces Nearly Para-Kähler Manifolds Geometric Structures

Authors and affiliations

  • Lars Schäfer
    • 1
  1. 1.Institut DifferentialgeometrieLeibniz Universität HannoverHannoverGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-65807-0
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-65806-3
  • Online ISBN 978-3-319-65807-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book