Listar DMat-Artículos, capítulos... por autor "fefe38f9-7855-4573-913b-027b9af40b94"

Mostrando ítems 1-9 de 9

    • 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 ...

    • 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 ...

    • 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 ...

    • 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 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 ...

    • Phi-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime 

      Albujer, Alma L.; Lima, Henrique F. de; Oliveira, Arlandson M.; Velásquez, Marco Antonio L. (Springer, 2018)
      In this paper, we extend a technique due to Romero et al. establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed in a weighted generalized Robertson–Walker spacetime ...

    • Total mean curvature surfaces in the product space S^n x R and applications 

      Albujer, Alma L.; Ferreira da Silva, Sylvia; Reis dos Santos, Fábio R. (Cambridge University Press, 2023)
      The total mean curvature functional for submanifolds into the Riemannian product space S^n × R is considered and its first variational formula is presented. Later on, two second order differential operators are defined and ...

    • Willmore surfaces and Hopf tori in homogeneous 3-manifolds 

      Albujer, Alma L.; Santos, Fábio R. dos (Springer, 2022)
      Some classification results for closed surfaces in Berger spheres are presented. On the one hand, a Willmore functional for isometrically immersed surfaces into an homogeneous space E3(κ,τ) with isometry group of dimension ...