Relative parabolicity of zero mean curvature surfaces in $R^3$ and $R

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72940If the Lorentzian norm on a maximal surface in the 3-dimensional Lorentz-Minkowski space $R_1^3$ is positive and proper, then the surface is relative parabolic. As a consequence, entire maximal graphs with a closed set of isolated singularities are relative parabolic. Furthermore, maximal and minimal graphs over closed starlike domains in $R_1^3$ and $R^3,$ respectively, are relative parabolic.Differential GeometryPrimary: 53C50, Secondary: 53A10, 53A30Relative parabolicity of zero mean curvature surfaces in $R^3$ and $R_1^3$text