2 citations · 2 across the 5 of their papers we have counts for
4 papers · 1 filter
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…