Warped product submanifolds of Kaehler manifolds with pointwise slant fiber
Keyword(s):
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.
2019 ◽
Vol 16
(02)
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pp. 1950031
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2019 ◽
Vol 16
(03)
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pp. 1950037
2020 ◽
Vol ahead-of-print
(ahead-of-print)
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2021 ◽
pp. 2150183
Keyword(s):
2015 ◽
Vol 26
(12)
◽
pp. 1550099
◽
Keyword(s):
Keyword(s):
2019 ◽
Vol 16
(05)
◽
pp. 1950072
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