Listar Departamento de Matemáticas por autor "71a6711d-eda9-4f58-b0ab-483796bd53fa"
Mostrando ítems 1-14 de 14
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An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature
Rubio, Rafael M.; Salamanca, Juan J. (Elsevier, 2018)The dynamics of external force free motion of pendulums on surfaces of constant Gaussian curvature is addressed when the pivot moves along a geodesic obtaining the Lagrangian of the system. As an application it is possible ... -
Calabi-Bernstein type problems in Lorentzian Geometry
Rubio, Rafael M. (Springer, 2017)The study of maximal hypersurfaces in Lorentzian manifolds is an interesting mathematical problem, which connects di_erential geometry, nonlinear partial di_erential equations and certain problems in mathematical relativity. ... -
Compact maximal hypersurfaces in globally hyperbolic spacetimes
Aledo, Juan A.; Rubio, Rafael M.; Salamanca, Juan J. (IOP Publishing, 2018)Several uniqueness results on compact maximal hypersurfaces in a wide class of globally hyperbolic spacetimes are provided. They are obtained from the study of a distinguished function on the maximal hypersurface and under ... -
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 ... -
Completeness of uniformly accelerated observers in Galilean spacetimes
De la Fuente, Daniel; Pelegrín, José A. S.; Rubio, Rafael M. (Springer, 2022)We analyze the concept of uniformly accelerated observer in Galilean spacetimes in the context of Newton–Cartan theory and find natural geometric assumptions to ensure that an inextensible uniformly accelerated observer ... -
Galilean Generalized Robertson-Walker spacetimes: a new family of Galilean geometrical models
De la Fuente, Daniel; Rubio, Rafael M. (American Institute of Physics, 2018)We introduce a new family of Galilean spacetimes, the Galilean generalized Robertson-Walker spacetimes. This new family is relevant in the context of a generalized Newton-Cartan theory. We study its geometrical structure ... -
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 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 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 ... -
Spacelike hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi-Bernstein type problems
Aledo, Juan A.; Rubio, Rafael M.; Salamanca, Juan J. (Cambridge University Press, 2019)We study spacelike hypersurfaces with functionally bounded mean curvature in Lorentzian warped products M = I × f F , where F is a (non-compact) complete Riemannian mani- fold whose universal covering is parabolic. In ... -
Stability of maximal hypersurfaces in spacetimes: new general conditions and application to relevant spacetimes
De la Fuente, Daniel; Rubio, Rafael M.; Salamanca, Juan J. (Springer, 2017)We obtain new simple sufficient conditions to ensure the stability and strong stability of maximal hypersurfaces (without boundary) immersed in an arbitrary spacetime. Several applications to maximal hypersurfaces in a ... -
Stable Minimal Surfaces in Riemannian Warped Products
Aledo, Juan A.; Rubio, Rafael M. (Springer, 2017)We obtain several stability results forminimal two-sided surfaces immersed in a wide class of 3-dimensional Riemannian warped products, which includes the class of Riemannian products. As a consequence, some Bernstein-type ...