Articles liés à Symmetries of Spacetimes and Riemannian Manifolds
Synopsis
This book provides an upto date information on metric, connection and curva- ture symmetries used in geometry and physics. More specifically, we present the characterizations and classifications of Riemannian and Lorentzian manifolds (in particular, the spacetimes of general relativity) admitting metric (i.e., Killing, ho- mothetic and conformal), connection (i.e., affine conformal and projective) and curvature symmetries. Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of a comprehensive collection of the works of a very large number of researchers on all the above mentioned symmetries. (b) We have aimed at bringing together the researchers interested in differential geometry and the mathematical physics of general relativity by giving an invariant as well as the index form of the main formulas and results. (c) Attempt has been made to support several main mathematical results by citing physical example(s) as applied to general relativity. (d) Overall the presentation is self contained, fairly accessible and in some special cases supported by an extensive list of cited references. (e) The material covered should stimulate future research on symmetries. Chapters 1 and 2 contain most of the prerequisites for reading the rest of the book. We present the language of semi-Euclidean spaces, manifolds, their tensor calculus; geometry of null curves, non-degenerate and degenerate (light like) hypersurfaces. All this is described in invariant as well as the index form.
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Symmetries of Spacetimes and Riemannian Manifolds (Mathematics and Its Applications, 487)
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Springer, 1999
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Symmetries of Spacetimes and Riemannian Manifolds
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Symmetries of Spacetimes and Riemannian Manifolds (Mathematics and Its Applications, 487)
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Symmetries of Spacetimes and Riemannian Manifolds (Hardcover)
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Hardcover. Etat : new. Hardcover. This text provides information on metric (i.e. Killing, homothetic and conformal), connection (i.e. affine, conformal and projective), curvature collineations and curvature inheritance symmetries. It attempts to present not only a comprehensive account of a very large number of papers on symmetries of spacetimes and Riemannian manifolds, but also 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 information on symmetries of Kaehler, contact and globally framed manifolds. This book provides an upto date information on metric, connection and curva ture symmetries used in geometry and physics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780792357933
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Symmetries of Spacetimes and Riemannian Manifolds (Mathematics and Its Applications, 487)
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Symmetries of Spacetimes and Riemannian Manifolds
Edité par
Springer, 1999
ISBN 10 : 0792357930
ISBN 13 : 9780792357933
Ancien ou d'occasion
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Symmetries of Spacetimes and Riemannian Manifolds
Edité par
Springer, 1999
ISBN 10 : 0792357930
ISBN 13 : 9780792357933
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Couverture rigide
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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