Listar Departamento de Matemáticas por autor "2f5e98df-151e-454b-b071-2f2616c95fc8"
Mostrando ítems 1-6 de 6
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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 ... -
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 ... -
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 ...