A note on isothermic coordinate system for spacelike surfaces with constant mean curvature in Lorentz-Minkowski space

2025/06/09 by Kawakami, Yu, Satake, Kaito
#53C42 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53A10 #Secondary 53C24

paper · doi:10.48550/arxiv.2506.07516

Abstract

In this note, we present an elementary proof of the existence of an isothermic coordinate system and explore its application to global property for space-like surfaces with constant mean curvature in the Lorentz-Minkowski three-space.

Citations

• On the maximal number of exceptional values of Gauss maps for various\n classes of surfaces
• Spacelike graphs with parallel mean curvature
• Maximal surfaces with singularities in Minkowski space

Cited by

• Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space

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