• Curvature homogeneous critical metrics in dimension three 

      Brozos-Vázquez, Miguel; Caeiro-Oliveira, Sandro; Garcia-Rio, Eduardo (Elsevier, 2022)
      [Abstract] We study curvature homogeneous three-manifolds modeled on a symmetric space which are critical for some quadratic curvature functional. If the Ricci operator is diagonalizable, critical metrics are 1-curvature ...
    • Homogeneous and curvature homogeneous Lorentzian critical metrics 

      Brozos-Vázquez, Miguel; Caeiro-Oliveira, Sandro; Garcia-Rio, Eduardo (Cambridge University Press, 2023)
      [Abstract] We determine all three-dimensional homogeneous and 1 -curvature homogeneous Lorentzian metrics which are critical for a quadratic curvature functional. As a result, we show that any quadratic curvature functional ...