On the Calabi-Yau problem for maximal surfaces in L³

2007/07/09 by Antonio Alarcón, Antonio Alarcon, Alarcon, Antonio
Mathematics · #53A10 #53B30 (Secondary) #53C42 #53C50 (Primary) #Advanced Harmonic Analysis Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53A10 #msc:53B30 #msc:53C42 #msc:53C50

paper · pdf · doi:10.48550/arxiv.0707.1098

12 pages, 2 figures. Revised version. To appear in Differ. Geom. Appl

openalex publication_date 2007/07/09 · arxiv created 2007/12/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct an example of a weakly complete maximal surface in the Lorentz-Minkowski space L³, which is bounded by a hyperboloid. Moreover, all the singularities of our example are of lightlike type.

Citations

• Falaco Solitons, Cosmic Strings in a Swimming Pool

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