Existence of Warped Product Submanifolds of Almost Hermitian Manifolds

Authors : Abdulqader MUSTAFA, Cenap ÖZEL

Pages : 361-370

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Publication Date : 2021-10-29

Article Type : Research Paper

Abstract :This paper has two goals; the first is to generalize results for the existence and nonexistence of warped product submanifolds of almost Hermitian manifolds, accordingly a self-contained reference of such submanifolds is offered to save efforts of other researchers, which is the second goal. At the end of the paper a list of warped products is tabulated whether exist or not. Moreover, a discrete example of $CR$-warped product submanifold in Kaehler manifold is constructed. For further research direction, we addressed a couple of open problems arose from the results of this paper.
Keywords : CR warped products, Kaehler, nearly Kaehler, general warped product, doubly warped product, second fundamental form, totally geodesic