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

TL;DR

This paper investigates the global properties of spacelike surfaces with constant mean curvature in Lorentz-Minkowski space using isothermic coordinate systems.

Contribution

It introduces a method leveraging isothermic coordinates to analyze spacelike constant mean curvature surfaces in Lorentz-Minkowski space.

Findings

Characterization of global properties of these surfaces

Application of isothermic coordinates to Lorentz-Minkowski geometry

Insights into the structure of spacelike surfaces with constant mean curvature

Abstract

In this note, we use isothermic coordinate systems to explore global properties of space-like surfaces with constant mean curvature in the Lorentz-Minkowski three-space.