2 citations · 2 across the 5 of their papers we have counts for
5 papers
A connection between flat fronts in hyperbolic space and minimal surfaces in euclidean space
Antonio Martínez, Pedro Roitman, Keti Tenenblat
A geometric construction is provided that associates to a given flat front in a pair of minimal surfaces in which are related by a Ribaucour transform…
A class of surfaces related to a problem posed by Élie Cartan
Antonio Martínez, Pedro Roitman
We introduce a class of surfaces in euclidean space motivated by a problem posed by Élie Cartan. This class furnishes what seems to be the first examples of pairs of non-congruent…
Complete Flat Surfaces with two Isolated Singularities in Hyperbolic 3-space
Armando V. Corro, Antonio Martinez, Francisco Milan
We construct examples of flat surfaces in which are graphs over a two-punctured horosphere and classify complete embedded flat surfaces in with only o…
The Bonnet problem for surfaces in homogeneous 3-manifolds
Jose A. Galvez, Antonio Martinez, Pablo Mira
We solve the Bonnet problem for surfaces in the homogeneous 3-manifolds with a 4-dimensional isometry group. More specifically, we show that a simply connected real analytic surfac…
The space of solutions to the Hessian one equation in the finitely punctured plane
Jose A. Galvez, Antonio Martinez, Pablo Mira
We construct the space of solutions to the elliptic Monge-Ampere equation det(D^2 u)=1 in the plane R^2 with n points removed. We show that, modulo equiaffine transformations and f…