I have been working on minimal surfaces, only recently learnt about maximal surfaces and "maxfaces" in Lorentz spaces.

I can clearly see the mathematical motivations. But I wonder if zero-mean-curvature hypersurfaces in Lorentz spaces ($\mathbb{R}^2_1$ or $\mathbb{R}^3_1$), like minimal surfaces in Euclidean spaces, also find applications in nature sciences or other branches of mathematics.