Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds
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Abstract:
We obtain the expression of Ricci tensor for a $GCR$-lightlikesubmanifold of indefinite complex space form and discuss itsproperties on a totally geodesic $GCR$-lightlike submanifold of anindefinite complex space form. Moreover, we have proved that everyproper totally umbilical $GCR$-lightlike submanifold of anindefinite Kaehler manifold is a totally geodesic $GCR$-lightlikesubmanifold.
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Journal title
volume 39 issue 5
pages 1009- 1029
publication date 2013-10-15
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