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

By: Gilkey, Peter BMaterial type: TextTextSeries: Imperial College Press advanced texts in mathematics ; v. 2.Publication details: London : Hackensack, NJ : Imperial College Press ; Distributed byWorld Scientific Pub., ©2007. Description: 1 online resource (xii, 376 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 1860948588; 9781860948589; 1281120677; 9781281120670; 9786611120672; 661112067XSubject(s): Riemannian manifolds | Curvature | Geometry, Differential | MATHEMATICS -- Geometry -- Differential | Curvature | Geometry, Differential | Riemannian manifoldsGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Geometry of curvature homogeneous pseudo-Riemannian manifolds.DDC classification: 516.362 LOC classification: QA671 | .G55 2007ebOnline resources: Click here to access online
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.
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.
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Includes bibliographical references (pages 361-372) and index.

Print version record.

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.

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.

English.

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