Description

Book Synopsis
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.

Table of 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.

Geometry Of Curvature Homogeneous

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A Hardback by Peter B Gilkey

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    View other formats and editions of Geometry Of Curvature Homogeneous by Peter B Gilkey

    Publisher: Imperial College Press
    Publication Date: 27/04/2007
    ISBN13: 9781860947858, 978-1860947858
    ISBN10: 1860947859
    Also in:
    Differential and Riemannian geometry

    Description

    Book Synopsis
    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.

    Table of 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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