Recent developments in pseudo-Riemannian geometry / Dmitri V. Alekseevsky, Helga Baum, editors.

Format:

Book

Contributor:

Alekseevskiĭ, Dmitriĭ Vladimirovich, 1940-

Baum, Helga, 1954-

Rosengarten Family Fund.

Series:

ESI lectures in mathematics and physics

Language:

English

Subjects (All):

Geometry, Riemannian.

Riemannian manifolds.

Physical Description:

x, 539 pages : illustrations ; 24 cm

Other Title:

Pseudo-Riemannian geometry

Place of Publication:

Zürich, Switzerland : European Mathematical Society, ©2008.

Summary:

"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." "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." --Book Jacket.

Contents:

Machine generated contents note: The classification problem for pseudo-Riemannian symmetric spaces / Martin Olbrich / Ines Kath

Holonomy groups of Lorentzian manifolds: classification, examples, and applications / Thomas Leistner / Anton Galaev

Hypersymplectic manifolds / Andrew Dancer / Andrew Swann

Anti-self-dual conformal structures in neutral signature / Simon West / Maciej Dunajski

A neutral Kahler surface with applications in geometric optics / Brendan Guilfoyle / Wilhelm Klingenberg

A primer on the (2 + 1) Einstein universe / Karin Melnick / William M. Goldman / Todd Drumm / Virginie Charette / Thierry Barbot

Essential conformal structures in Riemannian and Lorentzian geometry / Charles Frances

Conformal transformations of pseudo-Riemannian manifolds / Hans-Bert Rademacher / Wolfgang Kuhnel

The causal hierarchy of spacetimes / Ettore Minguzzi / Miguel Sanchez

Geodesics in semi-Riemannian manifolds: geometric properties and variational tools / Anna Maria Candela / Miguel Sanchez

Lorentzian symmetric spaces in supergravity / Jose Figueroa-O'Farrill

Metric bundles of split signature and type II supergravity / Frederik Witt

Einstein metrics with 2-dimensional Killing leaves and their physical interpretation / Gaetano Vilasi.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Rosengarten Family Fund.

ISBN:

9783037190517

3037190515

OCLC:

234146298

Publisher Number:

99988666754