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    • Critical points of the solutions to the H_R=H_L surface equation 

      Albujer, Alma L.; Caballero, Magdalena (Springer, 2023)
      Spacelike surfaces with the same mean curvature in R^3 and L^3 are locally described as the graph of the solutions to the H_R = H_L surface equation, which is an elliptic partial differential equation except at the points ...

    • Infinitesimal relative position vector fields for observers in a reference frame and applications to conformally stationary spacetimes 

      Caballero, Magdalena; De la Fuente, Daniel; Rubio, Rafael M. (Springer, 2019)
      We introduce and analyze the concept of infinitesimal relative position vector field between “infinitesimally nearby” observers, showing the equivalence between different definitions. Through the Fermi–Walker derivative ...

    • On the concept of infinitesimal position vector fields in Galilean spacetimes 

      Caballero, Magdalena; De la Fuente, Daniel; Pelegrín, José A. S.; Rubio, Rafael M. (World Scientific, 2022)
      We introduce two different ways to establish the concept of infinitesimal position vector field between “infinitesimally nearby” observers in a Galilean spacetime as well as show their mathematical equivalence. We also use ...

    • On the symmetries of a Kaehler manifold 

      Albujer, Alma L.; Alcázar, Jorge; Caballero, Magdalena (Springer, 2023)
      The natural symmetries of Riemannian manifolds are described by the symmetries of its Riemann curvature tensor. In that sense, the most symmetric manifolds are the constant sectional curvature ones. Its natural generalizations ...