Work

On biharmonic functions on vector bundles

Year: 2023

Type: article

Abstract: This paper is devoted to the investigation of harmonic and biharmonic functions on vector bundles equipped with spherically symmetric metrics. We will study the biharmonicity of vertical lifts of functions as well as $r$-radial functions on vector bundle manifolds and, as a consequence, we will construct an infinite two-parameter family of proper biharmonic functions.

Source: Communications in Mathematics

DOI: 10.46298/cm.11699

Authors: Mohamed Tahar Kadaoui Abbassi, Souhail Doua, Ibrahim Lakrini

Institution: Sidi Mohamed Ben Abdellah University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4385894173

FWCI:

Cites: 21

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Related to: 10