Geometry of Warped Product Hemi-Slant Submanifolds of an IS/I-Manifold

The purpose of this paper is to investigate a warped product of hemi-slant submanifolds on an S-manifold. We prove many interesting results for the existence of warped product hemi-slant submanifold of the type M[sub.θ]×[sub.f]M[sub.⊥] with ξ[sub.α]∈M[sub.θ] of an S-manifold. For such submanifolds,...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 16; no. 1
Main Authors Al-Mutairi, Ahlam, Al-Ghefari, Reem, Al-Jedani, Awatif
Format Journal Article
LanguageEnglish
Published MDPI AG 01.12.2023
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Summary:The purpose of this paper is to investigate a warped product of hemi-slant submanifolds on an S-manifold. We prove many interesting results for the existence of warped product hemi-slant submanifold of the type M[sub.θ]×[sub.f]M[sub.⊥] with ξ[sub.α]∈M[sub.θ] of an S-manifold. For such submanifolds, a characterization theorem is proven. In addition, we form an inequality for the squared norm of the second fundamental form in terms of the warping function and the slant angle. We also provide some examples, and the equality case is also considered.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16010035