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.
Authors
- Fatimah Alghamdi (ORCID: https://orcid.org/0000-0002-6060-4856)
Institutions
- University of Jeddah (SA)
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
Funders
- University of Jeddah