Listar DMat-Artículos, capítulos... por autor "75b5c94f-a0f6-4170-aa77-da5b33c2412c"

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    • A Moser–Bernstein problem for Riemannian warped products 

      Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael (Springer, 2020)
      In this work we deal with an elliptic non-linear problem, which arises naturally from Riemannian geometry. This problem has classically been studied in the the Euclidean n-dimensional space and it is known as the Moser–Bernstein ...

    • Compact Minimal Submanifolds in a Large Class of Riemannian Manifolds 

      Herrera, Jónatan; Salamanca, Juan J.; Rubio, Rafael M. (Springer, 2023)
      Through a new technique, we provide uniqueness, rigidity and non-existence results for compact minimal submanifolds of arbitrary dimension in a large class of Riemannian manifolds, which include between others, Riemannian ...

    • Complete spacelike hypersurfaces on symmetric spacetimes 

      Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael M. (IOP Publishing, 2020)
      A Lorentz manifold (M, g) is said to be a conformally stationary spacetime if it is endowed with a globally defined conformal timelike vector field K, whereas it is a pp-wave when there is a globally defined parallel ...

    • New examples of static spacetimes admitting a unique standard decomposition 

      Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael M. (SpringerLink, 2019)
      In this paper we introduce a new general approach for the study of spacetimes admitting a standard static splitting. This approach allows us to give an alternative proof for the uniqueness of splitting in the spatially ...

    • On complete trapped submanifolds in globally hyperbolic spacetimes 

      Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael M. (IOP Publishing, 2023)
      The aim of this manuscript is to obtain rigidity and non-existence results for parabolic spacelike submanifolds with causal mean curvature vector field in orthogonally splitted spacetimes, and in particular, in globally ...

    • On the connectedness of a random closed set of a Euclidean space 

      Salamanca, Juan J.; Herrera, Jónatan; Rubio, Rafael M. (Elsevier, 2022)
      Our aim is to obtain a suitable characterization of certain topological properties of a random closed set through its capacity functional. The main technique mixes two different fields: on the one hand, the abstract ...

    • Relativistic particles with torsion in three-dimensional non-vacuum spacetimes 

      Herrera, Jónatan; Rosa, M. de la; Rubio, Rafael (American Institute of Physics, 2021)
      In this paper, we analyze trajectories of spacelike curves that are critical points of a Lagrangian depending on its total torsion. We focus on two important families of spacetimes, generalized Robertson–Walker and standard ...