Riemann Solitons and Ricci Bi-Conformal Vector Fields on 4-Dimensional Oscillator Group
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.
Authors
- Foued Aloui (ORCID: https://orcid.org/0009-0003-7359-484X)
- Mohammad Nazrul Islam Khan (ORCID: https://orcid.org/0000-0002-9652-0355)
- Majid Ali Choudhary (ORCID: https://orcid.org/0000-0001-5920-1227)
- Bang-Yen Chen (ORCID: https://orcid.org/0000-0002-1270-094X)
Institutions
- Qassim University (SA)
- Imam Mohammad ibn Saud Islamic University (SA)
- Maulana Azad National Urdu University (IN)
- Michigan State University (US)
Publication Details
- Journal
- Mathematics
- Published
- 2026-05-02
- DOI
- https://doi.org/10.3390/math14091547
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Qassim University