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The Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds.

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 intro...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gilkey, Peter B.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, 2007.
Colección:ICP Advanced Texts in Mathematics, v. 2.
Temas:
Acceso en línea:Texto completo

MARC

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520 |a 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 StanilovTsankovVidev theory. 
588 0 |a Print version record. 
505 0 |a 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. 
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