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OverviewThis work has been written with a two-fold approach in mind: firstly, it adds to the theory of submanifolds the missing part of lightlike (degenerate) submanifolds of semi-Riemannian manifolds, and, secondly, it applies relevant mathematical results to branches of physics. It presents important results on null curves, lightlike hypersurfaces and their applications to relativistic electromagnetism, radiation fields, killing horizons and asymptotically flat spacetimes in a consistent way. Many differences between non-degenerate and degenerate geometry are highlighted, and open problems for both mathematicians and physicists are given. Full Product DetailsAuthor: Krishan L. Duggal , Aurel BejancuPublisher: Springer Imprint: Springer Edition: 1996 ed. Volume: 364 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 1.370kg ISBN: 9780792339571ISBN 10: 0792339576 Pages: 303 Publication Date: 29 February 1996 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1 Algebraic Preliminaries.- 2 Differential-geometric structures on Manifolds.- 3 Geometry of null curves in Lorentz manifolds.- 4 Lightlike hypersurfaces of semi-Riemannian manifolds.- 5 Lightlike submanifolds of semi-Riemannian manifolds.- 6 CR-lightlike submanifolds of indefinite Kaehler manifolds.- 7 Lightlike hypersurfaces of Lorentz framed manifolds.- 8 Lightlike hypersurfaces and electromagnetism.- 9 Lightlike hypersurfaces and general relativity.- References.- Author Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |