Existence of maximal surface containing given curve and special\n singularity

2016/12/20 by Rukmini Dey, Dey, Rukmini, Pradip Kumar +3
Mathematics · #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1612.06757

openalex publication_date 2016/12/20 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We give a different formulation for describing maximal surfaces in\nLorentz-Minkowski space, mathbbL³, using the identification of mathbb\nL³ with mathbb C\× mathbb R. Further we give a different proof for\nthe singular Bj "orling problem for the case of closed real analytic null\ncurve. As an application, we show the existence of maximal surface which\ncontains a given curve and has a special singularity.\n

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