Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds

Authors : Varun Jain, Rakesh Kumar, Rakesh Kumar Nagaich

Pages : 83-91

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Publication Date : 2015-02-01

Article Type : Research Paper

Abstract :In present paper, after finding the conditions for the integrability of various distributions of a GCR-lightlike submanifold of indefinite Kenmotsu manifolds, we prove that there do not exist totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds other than totally contact geodesic GCR-lightlike submanifolds and moreover it is a totally geodesic GCR-lightlike submanifold.
Keywords : Indefinite Kenmotsu manifolds, GCR lightlike submanifolds, totally contact umbilical GCR lightlike submanifolds