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ICP Advanced Texts in Mathematics - Vol. 2

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


Readership: Researchers in differential geometry and mathematical physics.

400pp (approx.) Pub. date: Scheduled Summer 2007
ISBN 978-1-86094-785-8
1-86094-785-9		 US$93 / £50
Copyright © 2007 Imperial College Press. All rights reserved.