Nearly Pseudo-Kähler Manifolds and Related Special Holonomies / by Lars Schäfer.

Format:

Book

Author/Creator:

Schäfer, Lars., Author.

Series:

Lecture Notes in Mathematics, 0075-8434 ; 2201

Language:

English

Subjects (All):

Geometry, Differential.

Differential Geometry.

Local Subjects:

Differential Geometry.

Physical Description:

1 online resource (VII, 183 p.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

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.

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-319-65807-7

OCLC:

1004663270