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http://dx.doi.org/10.7468/jksmeb.2011.18.2.173

HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD  

Jin, Dae-Ho (Department of Mathematics, Dongguk University)
Publication Information
The Pure and Applied Mathematics / v.18, no.2, 2011 , pp. 173-183 More about this Journal
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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Times Cited By KSCI : 1  (Citation Analysis)
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