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http://dx.doi.org/10.4134/BKMS.2014.51.3.883

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.3, 2014 , pp. 883-899 More about this Journal
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;
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Times Cited By KSCI : 2  (Citation Analysis)
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