• María Josefa Wonenburger Planells: Mujer y Matemática 

      Souto Salorio, María José; Tarrío-Tobar, Ana D. (Real Sociedad Matemática Española, 2006)
      [Resumen] En el artículo se describe la vida personal y profesional de la matemática María Wonenburger, mujer que desarrolló su carrera en una época en la que las mujeres tenían un acceso dificil a las carreras científicas ...
    • On the Degree in Categories of Complexes of Fixed Size 

      Chaio, Claudia; Pratti, Isabel; Souto Salorio, María José (Springer, 2019-02-01)
      [Abstract]: We consider Λ an artin algebra and n ≥ 2. We study how to compute the left and right degrees of irreducible morphisms between complexes in a generalized standard Auslander-Reiten component of Cn(proj Λ) with ...
    • 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 ...
    • Isolation Number versus Domination Number of Trees 

      Lemanska, Magdalena; Souto Salorio, María José; Dapena, Adriana; Vázquez Araújo, Francisco José (MDPI, 2021-06)
      [Abstract] If 𝐺 = (Vɢ,Eɢ) is a graph of order n, we call 𝑆 ⊆ Vɢ an isolating set if the graph induced by Vɢ − Nɢ[𝑆] contains no edges. The minimum cardinality of an isolating set of 𝐺 is called the isolation number of ...
    • Resolving Sets Tolerant to Failures in Three-Dimensional Grids 

      Mora, Mercè; Souto Salorio, María José; Tarrío-Tobar, Ana D. (Springer Nature, 2022)
      [Abstract] An ordered set S of vertices of a graph G is a resolving set for G if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of G is the minimum cardinality of ...
    • 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 ...
    • 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 ...
    • Homotopic distance and generalized motion planning 

      Macías-Virgós, Enrique; Mosquera-Lois, David; Pereira Sáez, María José (Springer, 2022-10-18)
      [Abstract]: We prove that the homotopic distance between two maps defined on a manifold is bounded above by the sum of their subspace distances on the critical submanifolds of any Morse–Bott function. This generalizes the ...
    • 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 ...
    • 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 ...
    • The Auslander-Reiten quiver of the category of m−periodic complexes 

      Chaio, Claudia; González Chaio, Alfredo; Pratti, Isabel; Souto Salorio, María José (Elsevier, 2024-05)
      [Abstract]: Let A be an additive k−category and C≡m(A) be the category of m−periodic complexes. For any integer m > 1, we study conditions under which the compression b functor Fm : C (A) → C≡m(A) preserves or reflects ...
    • Graphs with isolation number equal to one third of the order 

      Lemańska, Magdalena; Mora, Mercè; Souto Salorio, María José (Elsevier B.V., 2024-05)
      [Absctract]: A set D of vertices of a graph G is isolating if the set of vertices not in D and with no neighbor in D is independent. The isolation number of G, denoted by ι(G), is the minimum cardinality of an isolating ...