• Rigidity of weighted Einstein smooth metric measure spaces 

      Brozos-Vázquez, Miguel; Mojón Álvarez, Diego (Elsevier, 2024-01)
      [Abstract] We study the geometric structure of weighted Einstein smooth metric measure spaces with weighted harmonic Weyl tensor. A complete local classification is provided, showing that either the underlying manifold is ...
    • Vacuum Einstein field equations in smooth metric measure spaces: the isotropic case 

      Brozos-Vázquez, Miguel; Mojón Álvarez, Diego (IOPscience, 2022)
      [Abstract] On a smooth metric measure spacetime (M, g, e−fdvolg), we define a weighted Einstein tensor. It is given in terms of the Bakry–Émery Ricci tensor as a tensor which is symmetric, divergence-free, concomitant of ...