On the existence of a proper conformal maximal disk in L³

2006/09/06 by A. Alarcon, Antonio Alarcón, Alarcon, A.
Mathematics · #53A10 #53B30 #53C42 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities #math.DG #msc:53A10 #msc:53B30 #msc:53C42 #msc:53C50

paper · pdf · doi:10.48550/arxiv.math/0609181

17 pages, 5 figures, to appear in Differ. Geom. Appl

openalex publication_date 2006/09/06 · arxiv created 2007/01/10 · 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 properly immersed maximal surface in the Lorentz-Minkowski space L³ with the conformal type of a disk.

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