arXiv subjects

Ibrahim Lakrini

Publications and source records attributed to Ibrahim Lakrini.

2 recordsLinked to original sources

arXiv2023

On biharmonic functions on vector bundles

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.

math.DG↗

arXiv2021

On point spectra of vector fields

The aim of this paper is to investigate the point spectra of vector fields. We will define the point spectrum of a vector field and study some of its basic properties. In particular, we will prove that point spectra are well-behaved under the action of isometries and that the point spectra of compactly supported vector fields are trivial.

math.DG↗