© 2017

Nearly Pseudo-Kähler Manifolds and Related Special Holonomies


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


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.


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

Authors and affiliations

  1. 1.Institut DifferentialgeometrieLeibniz Universität HannoverHannoverGermany

About the authors


Bibliographic information

  • Book Title Nearly Pseudo-Kähler Manifolds and Related Special Holonomies
  • Authors Lars Schäfer
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lect.Notes Mathematics
  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-319-65806-3
  • eBook ISBN 978-3-319-65807-0
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VII, 183
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Differential Geometry
  • Buy this book on publisher's site


“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)