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Lightlike submanifolds of semi-Riemannian manifolds
Authors:Aurel Bejancu  K L Duggal
Institution:(1) Department of Mathematics, Polytechnic Institute of Iasi, CP17 Iast 1, 6600 Iasi, Romania;(2) Department of Mathematics and Statistics, University of Windsor, N9B 3P4 Windsor, Ontario, Canada
Abstract:The purpose of this paper is to initiate a study of the differential geometry of lightlike (degenerate) submanifolds of semi-Riemannian manifolds. We construct the transversal vector bundle for an arbitrary lightlike submanifold and obtain results on the geometric structures induced on it.
Keywords:53C42  53C50
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