The geometry of curvature homogeneous pseudo-Riemannian manifolds
The geometry of curvature homogeneous pseudo-Riemannian manifolds By Peter B. Gilkey
2007 | 389 Pages | ISBN: 1860947859 | PDF | 2 MB
2007 | 389 Pages | ISBN: 1860947859 | PDF | 2 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.