1
Department of Mathematics, Punjabi University, Patiala 147 002. India
2
University College of Engineering Punjabi University, Patiala, India
3
Department of Applied Sciences, Chitkara University, India
Abstract
We obtain the expression of Ricci tensor for a $GCR$-lightlike submanifold of indefinite complex space form and discuss its properties on a totally geodesic $GCR$-lightlike submanifold of an indefinite complex space form. Moreover, we have proved that every proper totally umbilical $GCR$-lightlike submanifold of an indefinite Kaehler manifold is a totally geodesic $GCR$-lightlike submanifold.
Nagaich, R., Kumar, R., & Kumar, S. (2013). Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds. Bulletin of the Iranian Mathematical Society, 39(5), 1009-1029.
MLA
Nagaich, R., Kumar, R., & Kumar, S. "Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds", Bulletin of the Iranian Mathematical Society, 39, 5, 2013, 1009-1029.
HARVARD
Nagaich R., Kumar R., Kumar S. (2013). 'Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds', Bulletin of the Iranian Mathematical Society, 39(5), pp. 1009-1029.
CHICAGO
R. Nagaich, R. Kumar & S. Kumar, "Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds," Bulletin of the Iranian Mathematical Society, 39 5 (2013): 1009-1029,
VANCOUVER
Nagaich R., Kumar R., Kumar S. Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds. BIMS. 2013;39(5):1009-1029.
