On conformal geometry of four-dimensional generalized symmetric spaces

• Amirhesam Zaeim ^[1] ; Yadollah Aryanejad ^[1] ; Mokhtar Gheitasi ^[1]
  1. [1] Payame Noor University

     Payame Noor University

     Irán

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 65, Nº. 1, 2023, págs. 135-153
• Idioma: inglés
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• Resumen

  • We study conformal geometry on an important class of four-dimensional (pseudo-)Riemannian manifolds: generalized symmetric spaces. This leads to the general description of conformally Einstein metrics on the spaces under consideration. Finally, the class of oscillator Lie groups is studied for the conformally Einstein property.