Work

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

Year: 2024

Type: article

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.

Source: Axioms

DOI: 10.3390/axioms13110807

Author: Fatimah Alghamdi

Institution: University of Jeddah

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: University of Jeddah