Four-dimensional quasi-Einstein non-reductive homogeneous spaces are Einstein
We investigate quasi-Einstein structures on four-dimensional non-reductive homogeneous spaces. We show that contrary to the Ricci solitons structures, quasi-Einstein structures display a strong rigidity in the sense that every such a structure is necessarily Einstein.
Authors
- Mohamed Tahar Kadaoui Abbassi (ORCID: https://orcid.org/0000-0001-7802-0624)
- Khadija Boulagouaz (ORCID: https://orcid.org/0009-0001-6031-8593)
Institutions
- Sidi Mohamed Ben Abdellah University (MA)
Publication Details
- Journal
- Extracta Mathematicae
- Published
- 2025-12-17
- DOI
- https://doi.org/10.17398/2605-5686.40.2.253
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00