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Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space

Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space

Consider a surface $S$ immersed in the Lorentz-Minkowski 3-space $\mathbf{R}^{3}_{1}$. A complete light-like line in $\mathbf{R}^{3}_{1}$ is called an \textit{entire null line} on the surface $S$ in $\mathbf{R}^{3}_{1}$ if it lies on $S$ and consists of only null points with respect to the induced metric. In this paper, we show …