The geometry of curvature homogeneous pseudo-Riemannian manifolds / Peter B. Gilkey.

Format:

Book

Author/Creator:

Gilkey, Peter B.

Series:

Imperial College Press advanced texts in mathematics ; v. 2.

ICP advanced texts in mathematics ; v. 2

Language:

English

Subjects (All):

Riemannian manifolds.

Curvature.

Geometry, Differential.

Physical Description:

1 online resource (389 p.)

Edition:

1st ed.

Place of Publication:

London : Imperial College Press ; Hackensack, NJ : Distributed byWorld Scientific Pub., c2007.

Language Note:

English

Summary:

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:

Preface; Contents; 1. The Geometry of the Riemann Curvature Tensor; 2. Curvature Homogeneous Generalized Plane Wave Manifolds; 3. Other Pseudo-Riemannian Manifolds; 4. The Curvature Tensor; 5. Complex Osserman Algebraic Curvature Tensors; 6. Stanilov-Tsankov Theory; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 361-372) and index.

ISBN:

9786611120672

9781281120670

1281120677

9781860948589

1860948588

OCLC:

476099841