On conformal geometry of four-dimensional generalized symmetric spaces

Authors

  • Amirhesam Zaeim Department of Mathematics, Payame Noor University, P.O. Box 19395- 3697, Tehran, I. R. of Iran
  • Yadollah AryaNejad Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I. R. of Iran
  • Mokhtar Gheitasi Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I. R. of Iran

DOI:

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

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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Published

2023-05-29

Issue

Vol. 65 No. 1 (2023)

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Article

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Copyright (c) 2023 Amirhesam Zaeim, Yadollah AryaNejad, Mokhtar Gheitasi

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