Bull. Korean Math. Soc. 2013; 50(4): 1173-1192
Printed July 1, 2013
https://doi.org/10.4134/BKMS.2013.50.4.1173
Copyright © The Korean Mathematical Society.
Sangeet Kumar, Rakesh Kumar, and R. K. Nagaich
Chitkara University, Punjabi University, Punjabi University
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
MSC numbers: 53C15, 53C40, 53C50
2014; 51(3): 883-899
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