Surfaces of coordinate finite type in the Lorentz-Minkowski 3-space

2022/07/06 by Hassan Al-Zoubi, Al-Zoubi, Hassan, Alev Kelleci +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #General Mathematics (math.GM) #Geometric Analysis and Curvature Flows #Mathematics and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2208.12578

openalex publication_date 2022/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we study the class of surfaces of revolution in the 3-dimensional Lorentz-Minkowski space with nonvanishing Gauss curvature whose position vector x satisfies the condition ΔIIIx = Ax, where A is a square matrix of order 3 and ΔIII denotes the Laplace operator of the second fundamental form III of the surface. We show that such surfaces are either minimal or pseudospheres of a real or imaginary radius.

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