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http://dx.doi.org/10.4134/BKMS.2013.50.4.1173

GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS  

Kumar, Sangeet (School of Applied Sciences Chitkara University)
Kumar, Rakesh (University College of Engineering Punjabi University)
Nagaich, R.K. (Department of Mathematics Punjabi University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1173-1192 More about this Journal
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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Times Cited By KSCI : 1  (Citation Analysis)
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