Work

Laplacian Conditions and Sphericity of Hypersurfaces in the Nearly Kähler 6-Sphere

Year: 2025

Type: article

Abstract: In this paper, we investigate hypersurfaces in the nearly Kähler 6-sphere S6 and establish several foundational results. In particular, under certain conditions of the function ξ(f)=g(∇f,ξ), we demonstrate that a hypersurface M of S6 must be a sphere. Here, f∈C∞(M) is a smooth vector field, ξ=−JN denotes the characteristic vector field, J is the almost complex structure on S6, and N is the unit vector field normal to the hypersurface. We also support our results with illustrative examples.

Source: Mathematics

DOI: 10.3390/math13162673

Author: Ibrahim Al-Dayel

Institution: Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Al-Imam Muhammad Ibn Saud Islamic University