Non-existence of screen homothetic half lightlike submanifolds of an indefinite Kenmotsu manifold

نویسنده

  • Dae Ho Jin
چکیده

We study screen homothetic half lightlike submanifolds of indefinite Kenmotsu manifolds. Two natural conditions to impose on this study are that its homothetic factor be either non-zero constant or zero, the latter is equivalent to the screen distribution to be totally geodesic. The purpose of this paper is to prove that there do not exist above two types screen homothetic half lightlike submanifolds of indefinite Kenmotsu manifolds subject to the conditions; (1) the co-screen distribution is parallel and (2) the lightlike transversal connection is flat. M.S.C. 2010: 53C25, 53C40, 53C50.

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تاریخ انتشار 2013