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Symmetries of Spacetimes and Riemannian Manifolds : Mathematics and Its Applications - Krishan L. Duggal

Symmetries of Spacetimes and Riemannian Manifolds

Mathematics and Its Applications

Hardcover Published: December 2009
ISBN: 9780792357933
Number Of Pages: 218

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This book provides up-to-date information on metric (i.e. Killing, homothetic and conformal), connection (i.e. affine, conformal and projective), curvature collineations and curvature inheritance symmetries. It is the first-ever attempt to present a comprehensive account of a very large number of papers on symmetries of spacetimes and Riemannian manifolds. An attempt has been made to present the Lie group/algebra structures of symmetry vectors, their kinematics/dynamics, compact hypersurfaces (dealing with the initial value problem in general relativity) and lightlike hypersurfaces. This book also contains the latest information on symmetries of Kaehler, contact and globally framed manifolds. Audience: Graduate students, post-doctoral students and faculty interested in differential geometry and/or general relativity.

Dedication
Preface
Preliminariesp. 1
Semi-Riemannian Manifolds and Hypersurfacesp. 10
Lie Derivatives and Symmetry Groupsp. 36
Spacetimes of General Relativityp. 56
Killing and Affine Killing Vector Fieldsp. 79
Homothetic and Conformal Symmetriesp. 103
Connection and Curvature Symmetriesp. 134
Symmetry Inheritancep. 156
Symmetries of Some Geometric Structuresp. 173
The Petrov Classificationp. 193
Bibliographyp. 195
Indexp. 208
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792357933
ISBN-10: 0792357930
Series: Mathematics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 218
Published: December 2009
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.42
Weight (kg): 0.5

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