Riemann solitons on Lorentzian generalized symmetric spaces
In this paper, we classify Riemann solitons on simply-connected 4-dimensional Lorentzian generalized symmetric spaces up to isometry. Then it isproved which of them is the gradient soliton. Also, we prove none of the potential vector fields of Riemann solitons are Killing vector fields.
Authors
- Mehdi Jafari (ORCID: https://orcid.org/0000-0002-7154-7527)
- Shahroud Azami (ORCID: https://orcid.org/0000-0002-8976-2014)
Institutions
- Payame Noor University (IR)
- Imam Khomeini International University (IR)
Publication Details
- Journal
- Tamkang Journal of Mathematics
- Published
- 2024-11-12
- DOI
- https://doi.org/10.5556/j.tkjm.56.2025.5447
- Citations
- 2
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.66