A new characterization of hyperbolic cylinder in anti-de Sitter space $ \mathbb{H}_1^{5}(-1) $

Abstract

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) $.

Keywords

• anti-de sitter space
• willmore maximal spacelike hypersurfaces
• constant scalar curvature