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EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS OF CODIMENSION 2

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.1, pp.31-46
Jin, Dae-Ho
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Abstract

In this paper we study the geometry of Einstein half light like submanifolds M of a Lorentz manifold (<TEX>$\bar{M}$</TEX>(c), <TEX>$\bar{g}$</TEX>) of constant curvature c, equipped with an integrable screen distribution on M such that the induced connection <TEX>${\nabla}$</TEX> is a metric connection and the operator <TEX>$A_u$</TEX> is a screen shape operator.

keywords
null curve, Frenet frames

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics