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Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Symmetries of Spacetimes and Riemannian Manifolds ([EBook] /) / by Krishan L. Duggal, Ramesh Sharma.
Author	Duggal, Krishan L.
Added Personal Name	Sharma, Ramesh author.
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : : Springer US : : Imprint: Springer, , 1999.
Physical Details	X, 218 p. : online resource.
Series	Mathematics and its applications ; 487
ISBN	9781461553151
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4615-5315-1
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Differential Geometry . Engineering mathematics . Lie groups . Mathematics . Partial differential equations . Physics . Theoretical, Mathematical and Computational Physics . Topological groups . Topological groups, Lie groups . Authors: Duggal, Krishan L. . Sharma, Ramesh . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 516.36 . 516.36 (DDC 23) .

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Symmetries of Spacetimes and Riemannian Manifolds

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