2008/08/18 by Antonio Alarcón, Antonio Alarcon, Alarcon, Antonio +3 · 2 citations
Mathematics · #30F15 #49Q05 #53A10 #53C42 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.DG #msc:30F15 #msc:49Q05 #msc:53A10 #msc:53C42
paper · pdf · doi:10.48550/arxiv.0808.2363
11 pages, 1 figure
arxiv created 2008/08/18 · openalex publication_date 2008/08/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, we prove that these surfaces are dense in the space of all minimal surfaces with this coordinate function (with the topology of the smooth convergence on compact sets).