منابع مشابه
Non existence of totally contact umbilical slant lightlike submanifolds of indefinite Sasakian manifolds
We prove that there do not exist totally contact umbilical proper slant lightlike submanifolds of indefinite Sasakian manifolds other than totally contact geodesic proper slant lightlike submanifolds. We also prove that there do not exist totally contact umbilical proper slant lightlike submanifolds of indefinite Sasakian space forms.
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In this paper we introduce the notion of screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2 and RadTM on screen pseudo-slant lightlike submanifolds of an indefinite Kaehler manifold have been obtained. Further, we obtain necessary and suff...
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and Applied Analysis 3 in the normal bundle T⊥M, and AN is the shape operator of the second fundamental form. Moreover, we have g ANX, Y g h X,Y ,N , 2.4 where g denotes the Riemannian metric onM as well as the metric induced onM. The mean curvature vector H on M is given by
متن کاملWarped product pseudo-slant submanifolds of nearly Kaehler manifolds
In this paper, we study warped product pseudo-slant submanifolds of nearly Kaehler manifolds. We prove the non-existence results on warped product submanifolds of a nearly Kaehler manifold.
متن کاملnon existence of totally contact umbilical slant lightlike submanifolds of indefinite sasakian manifolds
we prove that there do not exist totally contact umbilical proper slant lightlike submanifolds of indefinite sasakian manifolds other than totally contact geodesic proper slant lightlike submanifolds. we also prove that there do not exist totally contact umbilical proper slant lightlike submanifolds of indefinite sasakian space forms.
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ژورنال
عنوان ژورنال: Kyungpook mathematical journal
سال: 2014
ISSN: 1225-6951
DOI: 10.5666/kmj.2014.54.4.667