Work

On the Topology of Warped Product Manifolds Minimally Immersed into a Sphere

Year: 2025

Type: article

Abstract: In this paper, we investigate the geometry and topology of compact warped product minimal submanifolds of arbitrary codimension immersed in a sphere. These submanifolds satisfy a specific pinching condition relating the length and Laplacian of the warping function to the dimensions of the warped product. Our results extend previous work on minimal immersions into the sphere.

Source: Axioms

DOI: 10.3390/axioms14080618

Authors: Fatimah Alghamdi, Muhammad Altanji

Institutions: University of Jeddah, King Khalid 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: $2,896

OpenAlex ID: W4413249167

FWCI:

Cites: 23

Cited by:

Related to: 10