Characterization of GCR-lightlike warped product of indefinite Kenmotsu manifolds

Authors

  • Rakesh Kumar University College of Engineering, Punjabi University, Patiala, Punjab. (INDIA) Author

Keywords:

GCR-lightlike submanifold, GCR-lightlike product, GCR-lightlike warped product submanifold, indefinite Kenmotsu manifold

Subjects:

53C40, 53C42, 53C50, 53C55

Abstract

In this paper, we prove that there do not exist warped productGCR-lightlike submanifolds in the form M=N×λN such that N is ananti-invariant submanifold tangent to V and N aninvariant submanifold of M, other than GCR-lightlikeproduct in an indefinite Kenmotsu manifold. We also obtain somecharacterizations for a GCR-lightlike submanifold to be locally aGCR-lightlike warped product.

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Published

2013-10-15