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＜電子ブック＞
Symmetries of Spacetimes and Riemannian Manifolds / by Krishan L. Duggal, Ramesh Sharma
(Mathematics and Its Applications ; 487)

版	1st ed. 1999.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	X, 218 p : online resource
著者標目	*Duggal, Krishan L author Sharma, Ramesh author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Mathematical physics LCSH:Mathematics LCSH:Topological groups LCSH:Lie groups LCSH:Differential equations FREE:Differential Geometry FREE:Theoretical, Mathematical and Computational Physics FREE:Applications of Mathematics FREE:Topological Groups and Lie Groups FREE:Differential Equations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4615-5315-1

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