An entire zero mean curvature graph in R^{n+1}_1 consisting only of space-like or light-like points is a hyperplane.
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Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space
An entire zero mean curvature graph in R^{n+1}_1 consisting only of space-like or light-like points is a hyperplane.