10 citations · 11 across the 4 of their papers we have counts for
6 papers
A uniqueness theorem for the singly periodic genus-one helicoid
A. Alarcon, L. Ferrer, F. Martin
The singly periodic genus-one helicoid was in the origin of the discovery of the first example of a complete minimal surface with finite topology but infinite total curvature, the…
The embedded singly periodic Scherk-Costa surfaces
Francisco Martin, Valerio Ramos-Batista
We give a positive answer to M. Traizet's open question about the existence of complete embedded minimal surfaces with Scherk-ends without planar geodesics. In the singly periodic…
Minimal surfaces with helicoidal ends
Leonor Ferrer, Francisco Martin
In this paper we describe a new deformation that connects minimal disks with planar ends with minimal disks with helicoidal ends. In this way, we are able to construct a family of…
Complete proper minimal surfaces in convex bodies of
Francisco Martin, Santiago Morales
Consider a convex domain B of space. We prove that there exist complete minimal surfaces which are properly immersed in B. We also demonstrate that if D and D' are convex domains w…
A complete bounded minimal cylinder in R^3
Francisco Martin, Santiago Morales
In 1996, Nadirashvili used Runge's theorem to produce a complete minimal disc inside a ball in R^3. In this paper we generalize the techniques used by Nadirashvili to obtain new ex…
A note on the Gauss map of complete nonorientable minimal surfaces
Francisco J. Lopez, Francisco Martin
We construct complete nonorientable minimal surfaces whose Gauss map omits two points of the projective plane. This result proves that Fujimoto's theorem is sharp in nonorientable…