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Warped product submanifolds of Kaehler manifolds with pointwise slant fiber

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It was shown in [15, 16] that there does not exist any warped product submanifold of a Kaehler manifold such that the spherical manifold of the warped product is proper… Click to show full abstract

It was shown in [15, 16] that there does not exist any warped product submanifold of a Kaehler manifold such that the spherical manifold of the warped product is proper slant. In this paper, we introduce the notion of warped product submanifolds with a slant function. We show that there exists a class of nontrivial warped product submanifolds of a Kaehler manifold such that the spherical manifold is pointwise slant by giving an example and a characterization theorem. We also prove that if the warped product is mixed totally geodesic then the warping function is constant.

Keywords: pointwise slant; warped product; product submanifolds; product; submanifolds kaehler

Journal Title: Filomat
Year Published: 2018

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