43 citations · 356 across the 52 of their papers we have counts for
60 papers
Complete non-orientable minimal surfaces of finite total curvature: Approximation and interpolation
Antonio Alarcon, Francisco J. Lopez
In this paper, we prove a uniform approximation theorem with interpolation for complete non-orientable minimal surfaces of finite total curvature in the Euclidean space $\mathbb{R}…
Complete CMC-1 surfaces in hyperbolic space with arbitrary complex structure
Antonio Alarcon, Ildefonso Castro-Infantes, Jorge Hidalgo
We prove that every open Riemann surface is the complex structure of a complete surface of constant mean curvature 1 (CMC-1) in the 3-dimensional hyperbolic space $\mathbb{H}^3…
Complete nonsingular holomorphic foliations on Stein manifolds
Antonio Alarcon, Franc Forstneric
Let be a Stein manifold of complex dimension endowed with a Riemannian metric . We show that for every integer with $\left[\frac{n}{2}\right] \le k \le…
Oka-1 manifolds
Antonio Alarcon, Franc Forstneric
In this paper we begin a systematic study of the class of complex manifolds which are universal targets of holomorphic maps from open Riemann surfaces. We call them Oka-1 manifolds…
Embedded complex curves in the affine plane
Antonio Alarcon, Franc Forstneric
This paper brings several contributions to the classical Forster-Bell-Narasimhan conjecture and the Yang problem concerning the existence of proper and almost proper (hence complet…
The Yang problem for complete bounded complex submanifolds: a survey
Antonio Alarcon
We survey the history as well as recent progress in the Yang problem concerning the existence of complete bounded complex submanifolds of the complex Euclidean spaces. We also poin…