GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS

Title & Authors
GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS
Kumar, Sangeet; Kumar, Rakesh; Nagaich, R.K.;

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 $\small{c}$ and of constant type $\small{{\alpha}}$. 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;
Language
English
Cited by
1.
GCR-LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN PRODUCT MANIFOLD,;;;

대한수학회보, 2014. vol.51. 3, pp.883-899
1.
GCR-LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN PRODUCT MANIFOLD, Bulletin of the Korean Mathematical Society, 2014, 51, 3, 883
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