The geometry of curvature homogeneous pseudo-Riemannian manifolds /
Gilkey, Peter B.
The geometry of curvature homogeneous pseudo-Riemannian manifolds / Peter B. Gilkey. - London : Hackensack, NJ : Imperial College Press ; Distributed byWorld Scientific Pub., ©2007. - 1 online resource (xii, 376 pages). - ICP advanced texts in mathematics ; v. 2 . - Imperial College Press advanced texts in mathematics ; v. 2. .
Includes bibliographical references (pages 361-372) and index.
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.
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.
1860948588 (electronic bk.) 9781860948589 (electronic bk.) (cased) (cased) 1281120677 9781281120670 9786611120672 661112067X
013787507 Uk
Riemannian manifolds.
Curvature.
Geometry, Differential.
Variétés de Riemann.
Courbure.
Géométrie différentielle.
MATHEMATICS--Geometry--Differential.
Curvature.
Geometry, Differential.
Riemannian manifolds.
Electronic books.
Electronic books.
QA671 / .G55 2007eb
516.362
The geometry of curvature homogeneous pseudo-Riemannian manifolds / Peter B. Gilkey. - London : Hackensack, NJ : Imperial College Press ; Distributed byWorld Scientific Pub., ©2007. - 1 online resource (xii, 376 pages). - ICP advanced texts in mathematics ; v. 2 . - Imperial College Press advanced texts in mathematics ; v. 2. .
Includes bibliographical references (pages 361-372) and index.
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.
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.
1860948588 (electronic bk.) 9781860948589 (electronic bk.) (cased) (cased) 1281120677 9781281120670 9786611120672 661112067X
013787507 Uk
Riemannian manifolds.
Curvature.
Geometry, Differential.
Variétés de Riemann.
Courbure.
Géométrie différentielle.
MATHEMATICS--Geometry--Differential.
Curvature.
Geometry, Differential.
Riemannian manifolds.
Electronic books.
Electronic books.
QA671 / .G55 2007eb
516.362