By investigating complete Willmore maximal spacelike hypersurfaces with constant scalar curvature in anti-de Sitter space $ \mathbb{H}_{1}^{5}(-1) $, we give a new characterization of hyperbolic cylinder $ \mathbb{H}^{2}(-2)\times\mathbb{H}^{2}(-2) $ in $ \mathbb{H}_{1}^{5}(-1) $.
Citation: Xuerong Qi, Chunxia Shi. A new characterization of hyperbolic cylinder in anti-de Sitter space $ \mathbb{H}_1^{5}(-1) $[J]. AIMS Mathematics, 2022, 7(7): 12802-12814. doi: 10.3934/math.2022708
By investigating complete Willmore maximal spacelike hypersurfaces with constant scalar curvature in anti-de Sitter space $ \mathbb{H}_{1}^{5}(-1) $, we give a new characterization of hyperbolic cylinder $ \mathbb{H}^{2}(-2)\times\mathbb{H}^{2}(-2) $ in $ \mathbb{H}_{1}^{5}(-1) $.
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Xuerong Qi, Chunxia Shi. A new characterization of hyperbolic cylinder in anti-de Sitter space $ \mathbb{H}_1^{5}(-1) $[J]. AIMS Mathematics, 2022, 7(7): 12802-12814. doi: 10.3934/math.2022708
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