The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds

✍ Scribed by Peter B. Gilkey

• Book ID: 127444995
• Publisher: Imperial College Press; Distributed by World Scientific Pub
• Year: 2007
• Tongue: English
• Weight: 2 MB
• Series: ICP advanced texts in mathematics 2
• Category: Library
• City: London :, Hackensack, NJ
• ISBN: 1860947859
• ISSN: 1753-657X

✦ Synopsis

Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov-Tsankov-Videv theory.