Read more
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.
List of 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
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
Report
"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)
