2 citations · 3 across the 3 of their papers we have counts for
6 papers
Mean convex properly embedded -minimal surfaces in
Antonio Martínez, A. L. Martínez-Triviño, J. P. dos Santos
We establish curvature estimates and a convexity result for mean convex properly embedded -minimal surfaces in , i.e., -minimal surfaces when …
Equilibrium of Surfaces in a Vertical Force Field
Antonio Martínez, A. L. Martínez-Triviño
In this paper we study -minimal surfaces in when the function is invariant under a two-parametric group of translations. Particularly those which are complete…
A Calabi's Type Correspondence
Antonio Martínez, A. L. Martínez Triviño
Calabi observed that there is a natural correspondence between the solutions of the minimal surface equation in with those of the maximal spacelike surface equation…
Improper affine spheres and the Hessian one equation
Antonio Martínez, Francisco Milán
Improper affine spheres have played an important role in the development of geometric methods for the study of the Hessian one equation. Here, we review most of the advances we hav…
Insertion-tolerance and repetitiveness of random graphs
Fernando Alcalde Cuesta, Álvaro Lozano Rojo, Antón C. Vázquez Martínez
Bond percolation on Cayley graphs provides examples of random graphs. Other examples arise from the dynamical study of proper repetitive subgraphs of Cayley graphs. In this paper w…
Complete Surfaces with Ends of Non Positive Curvature
José A. Gálvez, Antonio Martínez, José L. Teruel
In this paper we extend Efimov's Theorem by proving that any complete surface in with Gauss curvature bounded above by a negative constant outside a compact set has…