On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications

The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form Σθ× fΣ⊥ in a locally conformal Kähler manifold. Using the concept of pointwise pseudo-slant, we establish the necessary and sufficient condition for it to be characterized as a warped product submanifold. In addition, we derive several results on pointwise pseudo-slant warped products that expand previously proven main ones. Further, some examples of such submanifolds and their warped products are also given.

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Publication Details

Journal
Axioms
Published
2024-11-20
DOI
https://doi.org/10.3390/axioms13110807
Citations
1
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.97

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article

On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications

Fatimah Alghamdi
1 citations
Axioms
Geometric Analysis and Curvature Flows
0.97
article

On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications

Fatimah Alghamdi
article en
1 citations

Abstract

The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form Σθ× fΣ⊥ in a locally conformal Kähler manifold. Using the concept of pointwise pseudo-slant, we establish the necessary and sufficient condition for it to be characterized as a warped product submanifold. In addition, we derive several results on pointwise pseudo-slant warped products that expand previously proven main ones. Further, some examples of such submanifolds and their warped products are also given.

AxiomsVol. 13(11)
University of Jeddah (SA)
University of Jeddah
Openalex Percentile: Top 23%
Geometric Analysis and Curvature Flows
0.97
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