Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The (Icp Advanced Texts In Mathematics 2)

Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The (Icp Advanced Texts In Mathematics 2)

By: Peter B. Gilkey (author)Hardback

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Description

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.

Product Details

  • ISBN13: 9781860947858
  • Format: Hardback
  • Number Of Pages: 388
  • ID: 9781860947858
  • ISBN10: 1860947859

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