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OverviewThis book 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 is the first-ever attempt in mathematical literature to present the most 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 striking differences between non-degenerate and degenerate geometry are highlighted, and open problems for both mathematicians and physicists are given. Audience: This book will be of interest to graduate students, research assistants and faculty working in differential geometry and mathematical physics. Full Product DetailsAuthor: Krishan L. Duggal , Aurel BejancuPublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 1996 Volume: 364 Dimensions: Width: 15.50cm , Height: 1.60cm , Length: 23.50cm Weight: 0.486kg ISBN: 9789048146789ISBN 10: 904814678 Pages: 303 Publication Date: 08 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. 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 |
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