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http://dx.doi.org/10.5666/KMJ.2011.51.2.125

On the Geometry of Lightlike Submanifolds  

Kang, Tae-Ho (Department of Mathematics, University of Ulsan)
Publication Information
Kyungpook Mathematical Journal / v.51, no.2, 2011 , pp. 125-138 More about this Journal
Abstract
We give some characterizations of non-existence of lightlike hypersurfaces of an indefinite space form. Some geometric objects for the induced Ricci tensor to be symmetric are studied.
Keywords
lightlike hyperesurface; lightlike submanifold; indefinite spac form; screen distribution; transversal vector bundle; transversal connection; radical connection; transversal lightlike connection;
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1 C. Atindogbe, J.-P. Ezin and J. Tossa, Lightlike Einstein hypersurfaces in Lorentzian manifolds with constant curvature, Kodai Math. J., 29(2006), 58-71.   DOI   ScienceOn
2 K. L. Duggal and A. Bejancu, Lightlike submanifolds of semi-Riemannian manifolds and applications, Kluwer Academic, Publishers, Dordrecht, 1996.
3 K. L. Duggal and D. H. Jin, Totally umbilical lightlike submanifolds, Kodai Math. J., 26(2003), 49-68.   DOI