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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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.2, pp.173-183
https://doi.org/10.7468/jksmeb.2011.18.2.173
Jin, Dae-Ho

Abstract

We study half lightlike submanifolds of an indefinite Sasakian manifold. The aim of this paper is to prove the following result: If a locally symmetric half lightlike submanifold of an indefinite Sasakian manifold is totally umbilical, then it is of constant positive curvature 1. In addition to this result, we prove three characterization theorems for such a half lightlike submanifold.

keywords
totally umbilical, locally symmetric, indefinite Sasakian manifold

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