spherical manifold
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Filomat ◽  
2018 ◽  
Vol 32 (1) ◽  
pp. 35-44 ◽  
Author(s):  
Siraj Uddin ◽  
Mica Stankovic

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.


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