Ebook: The geometry of curvature homogeneous pseudo-Riemannian manifolds
Author: Peter B. Gilkey
- Genre: Mathematics
- Series: ICP advanced texts in mathematics 2
- Year: 2007
- Publisher: Imperial College Press
- City: London :, Hackensack, NJ
- Edition: First Edition
- Language: English
- pdf
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.
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