Revista de la
Unión Matemática Argentina
On conformal geometry of four-dimensional generalized symmetric spaces
Amirhesam Zaeim, Yadollah AryaNejad, and Mokhtar Gheitasi
Volume 65, no. 1 (2023), pp. 135–153    

https://doi.org/10.33044/revuma.2086

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Abstract

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.

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