Work

Riemann Solitons and Ricci Bi-Conformal Vector Fields on 4-Dimensional Oscillator Group

Year: 2026

Type: article

Abstract: We consider Riemann soliton vector fields and Ricci bi-conformal vector fields on the oscillator group. We prove that the oscillator group admits Riemann solitons. Subsequently, we provide a complete classification of all Ricci bi-conformal vector fields admitted by the oscillator group and identify those that belong to specific categories, namely gradient-type vector fields, Killing vector fields, and Ricci collineation using the partial differential equations.

Source: Mathematics

DOI: 10.3390/math14091547

Authors: Bang-Yen Chen, Foued Aloui, Majid Ali Choudhary, Mohammad Nazrul Islam Khan

Institutions: Michigan State University, Imam Mohammad ibn Saud Islamic University, Maulana Azad National Urdu University, Qassim 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: $3,137

Funder: Qassim University