On biharmonic functions on vector bundles
Differential Geometry
2024-02-14 v2
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 -radial functions on vector bundle manifolds and, as a consequence, we will construct an infinite two-parameter family of proper biharmonic functions.
Keywords
Cite
@article{arxiv.2308.01885,
title = {On biharmonic functions on vector bundles},
author = {Mohamed Tahar Kadaoui Abbassi and Souhail Doua and Ibrahim Lakrini},
journal= {arXiv preprint arXiv:2308.01885},
year = {2024}
}
Comments
20 pages