Enneper representation of minimal surfaces in the three-dimensional\n Lorentz-Minkowski space

2017/03/20 by Irene I. Onnis, Onnis, Irene I., Adriana A. Cintra +1
Mathematics · Medicine · Physics and Astronomy · #53A10 #53C41 #53C42 #Advanced Differential Geometry Research #Advanced Neuroimaging Techniques and Applications #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1703.06738

openalex publication_date 2017/03/20 · openalex created_date 2022/08/17 · openalex updated_date 2026/07/28

Abstract

In this paper, we will give an Enneper-type representation for spacelike and\ntimelike minimal surfaces in the Lorentz-Minkowski space L³, using the\ncomplex and the paracomplex analysis (respectively). Then, we exhibit various\nexamples of minimal surfaces in L³ constructed via the Enneper\nrepresentation formula, that it is equivalent to the Weierstrass representation\nobtained by Kobayashi (for spacelike immersions) and by Konderak (for the\ntimelike ones).\n

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