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GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS

  • Kumar, Sangeet ;
  • Kumar, Rakesh ;
  • Nagaich, R.K.
  • Received : 2012.07.19
  • Published : 2013.07.31

Abstract

We introduce CR, SCR and GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds and obtain their existence in indefinite nearly Kaehler manifolds of constant holomorphic sectional curvature $c$ and of constant type ${\alpha}$. We also prove characterization theorems on the existence of totally umbilical and minimal GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds.

Keywords

indefinite nearly Kaehler manifolds;CR-lightlike submanifolds;SCR-lightlike submanifolds;GCR-lightlike submanifolds;totally umbilical lightlike submanifolds;minimal lightlike submanifolds

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  3. Geometry of warped product lightlike submanifolds of indefinite nearly Kaehler manifolds vol.109, pp.1, 2018, https://doi.org/10.1007/s00022-018-0425-3
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