In this note, we investigate $n$ -dimensional spacelike hypersurfaces $M^{n}$ with $R = a H + b$ in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.

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The first eigenvalue of spacelike submanifolds in indefinite space form R p n + p

A Liouville type theorem for p -harmonic functions on minimal submanifolds in ℝ n + m

On complete spacelike hypersurfaces with R = a H + b in locally symmetric Lorentz spaces

The first eigenvalue of spacelike submanifolds in indefinite space form $R_{p}^{n + p}$

A Liouville type theorem for $p$ -harmonic functions on minimal submanifolds in $ℝ^{n + m}$

On complete spacelike hypersurfaces with $R = a H + b$ in locally symmetric Lorentz spaces