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GCR-LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN PRODUCT MANIFOLD

  • Kumar, Sangeet (School of Applied Sciences Chitkara University) ;
  • Kumar, Rakesh (Department of Basic and Applied Sciences Punjabi University) ;
  • Nagaich, Rakesh Kumar (Department of Mathematics Punjabi University)
  • Received : 2013.05.23
  • Published : 2014.05.31

Abstract

We introduce GCR-lightlike submanifold of a semi-Riemannian product manifold and give an example. We study geodesic GCR-lightlike submanifolds of a semi-Riemannian product manifold and obtain some necessary and sufficient conditions for a GCR-lightlike submanifold to be a GCR-lightlike product. Finally, we discuss minimal GCR-lightlike submanifolds of a semi-Riemannian product manifold.

Keywords

CR-lightlike submanifolds;SCR-lightlike submanifolds;GCR-lightlike submanifolds;semi-Riemannian product manifold;minimal lightlike submanifolds

References

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  1. Radical screen transversal lightlike submanifolds of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connection pp.1793-6977, 2017, https://doi.org/10.1142/S021988781850024X