Classification of Invariant 2-Conformal Vector Fields on 4D Non-Reductive Homogeneous Spaces

Axioms 2026 Open access

Read full text
Authors: Bang-Yen Chen, Foued Aloui, Majid Ali Choudhary, Ibrahim Al-Dayel
DOI: 10.3390/axioms15050353
Cited by: 1
References: 18

Abstract

The notion of 2-conformal vector fields on pseudo-Riemannian manifolds, which arose naturally in the study of hyperbolic solitons, is introduced by Fasihi-Ramandi, De, and Shamkhali. In this paper, we study invariant 2-conformal vector fields on four-dimensional non-reductive pseudo-Riemannian homogeneous manifolds G/H. Consequently, the complete classification of such vector fields is achieved, together with the necessary and sufficient conditions for their existence. The results are then applied to Lorentzian and neutral signatures, where 2-conformal vector fields provide an effective criterion for detecting 2-conformal equivalences in geometries with limited algebraic symmetries.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Differential Geometry Research Nonlinear Waves and Solitons

Publication details

Journal / source
Axioms
Publisher
MDPI AG
Volume
15
Issue
5
Pages
353–353
Publication date
10 May 2026
Language
EN