• Classification of the relative positions between a small ellipsoid and an elliptic paraboloid 

      Brozos-Vázquez, Miguel; Pereira Sáez, María José; Souto Salorio, María José; Tarrío-Tobar, Ana D. (Elsevier, 2019-06)
      [Abstract]: We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid (small meaning that the two surfaces cannot be tangent at two ...
    • Contact detection between a small ellipsoid and another quadric 

      Brozos-Vázquez, Miguel; Pereira Sáez, María José; Rodríguez Raposo, Ana Belén; Souto Salorio, María José; Tarrío-Tobar, Ana D. (Elsevier, 2022-08-03)
      [Abstract] We analyze the characteristic polynomial associated to an ellipsoid and another quadric in the context of the contact detection problem. We obtain a necessary and sufficient condition for an efficient method ...
    • Critical metrics and massive gravity solutions on three-dimensional Brinkmann waves 

      Brozos-Vázquez, Miguel; Caeiro-Oliveira, Sandro; Garcia-Rio, Eduardo (IOPscience, 2022)
      [Abstract] Three-dimensional Brinkmann waves which are critical for quadratic curvature functionals are determined. Generically, if the metric is critical for some functional then it is critical for all of them. In contrast, ...
    • 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 ...
    • El proyecto “Geometría aplicada” 

      Brozos-Vázquez, Miguel; Castro-Castro, Paula-María; Dapena, Adriana; Pereira Sáez, María José; Rodríguez Raposo, Ana Belén; Souto Salorio, María José; Tarrío-Tobar, Ana D.; Vázquez Araújo, Francisco Javier (Universidade da Coruña, 2020)
      [Resumen]: El proyecto “Geometría aplicada” ha sido seleccionado en la III edición de la exposición “Campus Vivo. Investigar en la Universidad”, una iniciativa de la Conferencia de Rectores de las Universidades Españolas ...
    • 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 ...
    • Third Emerging Trends in Applied Mathematics and Mechanics. Book of Abstracts. A Coruña, May 20-24, 2024 

      Cao Rial, María Teresa; Arós, Á.; Arregui, Íñigo; Vázquez, Carlos; Baamonde-Seoane, María A.; Calvo-Garrido, Maria-del-Carmen; Gonzalez Taboada, María; Varela Rodríguez, Hiram; Pereira-Sáez, María José; Brozos-Vázquez, Miguel; Souto Salorio, María José; Tarrío-Tobar, Ana D.; Ráfales, Jonatan; Rodríguez Seijo, José Manuel; Taboada-Vázquez, Raquel (Universidade da Coruña. Servizo de Publicacións, 2024)
      [Abstract] This volume contains the abstracts of more than fifty oral presentations to be given at the International Conference Emerging Trends in Applied Mathematics and Mechanics (ETAMM 2024) hosted by the School of ...
    • 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 ...