**EMS ESI Lectures in Mathematics and Physics**

Volume: 4;
2008;
549 pp;
Softcover

MSC: Primary 53;
**Print ISBN: 978-3-03719-051-7
Product Code: EMSESILEC/4**

List Price: $78.00

Individual Member Price: $62.40

# Recent Developments in Pseudo-Riemannian Geometry

Share this page *Edited by *
*Dmitri V. Alekseevsky; Helga Baum*

A publication of the European Mathematical Society

This book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics covered are:

Classification of pseudo-Riemannian symmetric spaces

Holonomy groups of Lorentzian and pseudo-Riemannian manifolds

Hypersymplectic manifolds

Anti-self-dual conformal structures in neutral signature and integrable systems

Neutral Kähler surfaces and geometric optics

Geometry and dynamics of the Einstein universe

Essential conformal structures and conformal transformations in pseudo-Riemannian geometry

The causal hierarchy of spacetimes

Geodesics in pseudo-Riemannian manifolds

Lorentzian symmetric spaces in supergravity

Generalized geometries in supergravity

Einstein metrics with Killing leaves

The book is addressed to advanced students as well as to researchers in differential geometry, global analysis, general relativity and string theory. It shows essential differences between the geometry on manifolds with positive definite metrics and on those with indefinite metrics, and highlights the interesting new geometric phenomena, which naturally arise in the indefinite metric case. The reader finds a description of the present state of the art in the field as well as open problems, which can stimulate further research.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

#### Readership

Graduate students and research mathematicians interested in geometry and topology.