Existence of Warped Product Submanifolds of Almost Hermitian Manifolds

Year 2021, Volume: 14 Issue: 2, 361 - 370, 29.10.2021

Abdulqader Mustafa Cenap Özel

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

Thanks

The first author (Abdulqader Mustafa) would like to thank the Palestine Technical University Kadoori, PTUK, for its supports to accomplish this work.

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