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    • Area Maximizing Surfaces in Lorentzian Spaces 

      Caballero, Magdalena; Pelegrín, José A. S.; Rubio, Rafael M. (Springer, 2021)
      In this paper we provide new results for area maximizing compact spacelike surfaces with boundary embedded in Lorentz-Minkowski space, as well as establish the uniqueness of the Dirichlet problem for maximal graphs in ...

    • 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 geometry of stationary Galilean spacetimes 

      De la Fuente, Daniel; Pelegrín, José A. S.; Rubio, Rafael M. (Springer, 2021)
      In this work we introduce a new family of non-relativistic spacetimes: standard stationary Galilean spacetimes, which constitute the local geometric model of stationary Galilean spacetimes. We also study the geodesic ...

    • Rigidity results for complete spacelike submanifolds in plane fronted waves 

      Palomo, Francisco J.; Pelegrín, José A. S.; Romero, Alfonso (Springer, 2022)
      New rigidity results for complete non-compact spacelike submanifolds of arbitrary codimension in plane fronted waves are obtained. Under appropriate assumptions, we prove that a complete spacelike submanifold in these ...