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http://dx.doi.org/10.7468/jksmeb.2014.21.1.1

TWO CHARACTERIZATION THEOREMS FOR HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU MANIFOLD  

Jin, Dae Ho (Department of Mathematics, Dongguk University)
Publication Information
The Pure and Applied Mathematics / v.21, no.1, 2014 , pp. 1-10 More about this Journal
Abstract
In this paper, we study the curvature of locally symmetric or semi-symmetric half lightlike submanifolds M of an indefinite Kenmotsu manifold $\bar{M}$, whose structure vector field is tangent to M. After that, we study the existence of the totally geodesic screen distribution of half lightlike submanifolds of indefinite Kenmotsu manifolds with parallel co-screen distribution subject to the conditions: (1) M is locally symmetric, or (2) the lightlike transversal connection is flat.
Keywords
locally symmetric; semi-symmetric manifold; half lightlike submanifolds; indefinite Kenmotsu manifold;
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Times Cited By KSCI : 1  (Citation Analysis)
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