Existence of embedded space-like maximal graphs containing entire null lines in Lorentz-Minkowski 3-space, plus rigidity: any such graph over a convex domain must be a light-like plane.
Akamine, Causal characters of zero mean curvature surfaces of Rieman n type in Lorentz- Minkowski 3-space, Kyushu J
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Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space
Existence of embedded space-like maximal graphs containing entire null lines in Lorentz-Minkowski 3-space, plus rigidity: any such graph over a convex domain must be a light-like plane.