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ISSN : 1226-0657

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Vol.17 No.1

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REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES

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
2010, v.17 no.1, pp.51-63
Jin, Dae-Ho
Jin,, D. (2010). REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(1), 51-63.

Abstract

In this paper, we prove two characterization theorems for real half lightlike submanifold (M,g,S(TM)) of an indefinite Kaehler manifold <TEX>$\bar{M}$</TEX> or an indefinite complex space form <TEX>$\bar{M}$</TEX>(c) subject to the conditions : (a) M is totally umbilical in <TEX>$\bar{M}$</TEX>, or (b) its screen distribution S(TM) is totally umbilical in M.

keywords
totally umbilical, irrotational, indefinite complex space form

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

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