Four-dimensional quasi-Einstein non-reductive homogeneous spaces are Einstein

• Mohamed Tahar Kadaoui Abbassi ^[1] ; Khadija Boulagouaz ^[1]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 40, Nº 2, 2025, págs. 253-275
• Idioma: inglés
• DOI: 10.17398/2605-5686.40.2.253
• Enlaces
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• Resumen

  • 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.

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