Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds
نویسندگان
چکیده مقاله:
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.
منابع مشابه
ricci tensor for $gcr$-lightlike submanifolds of indefinite kaehler manifolds
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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عنوان ژورنال
دوره 39 شماره 5
صفحات 1009- 1029
تاریخ انتشار 2013-10-15
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