Peter B. Gilkey, "The Geometry of Curvature Homogeneous Pseudo-riemannian Manifolds"
2007 | ISBN-10: 1860947859 | 388 pages | PDF | 3,6 MB
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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