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ISSN : 1226-0657

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Vol.18 No.1
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TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD

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
2011, v.18 no.1, pp.51-61
https://doi.org/10.7468/jksmeb.2011.18.1.051
Jin, Dae-Ho
Jin,, D. (2011). TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(1), 51-61, https://doi.org/10.7468/jksmeb.2011.18.1.051
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Abstract

In this paper, we study the geometry of transversal half lightlike sub-manifolds of an indefinite Sasakian manifold. The main result is to prove three characterization theorems for such a transversal half lightlike submanifold. In addition to these main theorems, we study the geometry of totally umbilical transversal half lightlike submanifolds of an indefinite Sasakian manifold.

keywords
totally umbilical, screen conformal, transversal lightlike submanifold, indefinite Sasakian manifolds

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

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