THE GEOMETRY OF CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS
by Peter B Gilkey (University of Oregon, USA)
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.
Contents:
- The Geometry of the Riemann Curvature Tensor
- Curvature Homogeneous
Generalized Plane Wave Manifolds
- Other Pseudo-Riemannian Manifolds
- The Curvature Tensor
- Complex Osserman Algebraic Curvature Tensors
- Stanilov-Tsankov Theory
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Readership: Researchers in differential geometry and mathematical physics.
