The geometry of curvature homogeneous pseudo Riemannian manifolds First Edition by Peter B Gilkey ISBN 1860948588 9781860948589

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Product details:

ISBN 10: 1860948588

ISBN 13: 9781860948589 

Author: Peter B. Gilkey

“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.”–BOOK JACKET. 

Table of contents:

1. The Geometry of the Riemann Curvature Tensor

2. Curvature Homogeneous Generalized Plane Wave Manifolds

3. Other PseudoRiemannian Manifolds

4. The Curvature Tensor

5. Complex Osserman Algebraic Curvature Tensors

6. StanilovTsankov Theory

7. Bibliography

8. Index

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Tags: Peter B Gilkey, Geometry, Curvature Homogeneous, Pseudo Riemannian Manifolds