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The geometry of curvature homogeneous pseudo-Riemannian manifolds [electronic resource] / Peter B. Gilkey.

By: Gilkey, Peter B.
Material type: TextTextSeries: Imperial College Press advanced texts in mathematics: v. 2.Publisher: London : Hackensack, NJ : Imperial College Press ; Distributed byWorld Scientific Pub., c2007Description: 1 online resource (xii, 376 p.).ISBN: 1860948588 (electronic bk.); 9781860948589 (electronic bk.).Subject(s): Riemannian manifolds | Curvature | Geometry, Differential | MATHEMATICS -- Geometry -- DifferentialGenre/Form: Electronic books.Additional physical formats: Print version:: Geometry of curvature homogeneous pseudo-Riemannian manifolds.DDC classification: 516.362 Online resources: EBSCOhost 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 (p. 361-372) and index.

Description based on 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.

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The geometry of curvature homogeneous pseudo-Riemannian manifolds by Gilkey, Peter B. ©2007
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