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

By:

Gilkey, Peter B

Material type: Text

TextSeries: Imperial College Press advanced texts in mathematics ; v. 2.Publication details: London : Imperial College Press ; Hackensack, NJ : Distributed byWorld Scientific Pub., ©2007.Description: 1 online resource (xii, 376 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

1860948588
9781860948589
1281120677
9781281120670
9786611120672
661112067X

Subject(s): Genre/Form:

Additional physical formats: Print version:: Geometry of curvature homogeneous pseudo-Riemannian manifolds.DDC classification:

516.362 22

LOC classification:

QA671 .G55 2007eb

Online 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.

English.

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