A new characterization of hyperbolic cylinder in anti-de Sitter space H 1 5 ( − 1 ) " role="presentation" style="position: relative;"> H 5 1 ( − 1 ) H 1 5 ( − 1 ) \mathbb{H}_1^{5}(-1)

AIMS Mathematics

article

Xuerong Qi¹  Chunxia Shi¹ 

[1] School of Mathematics and Statistics, Zhengzhou University

关键词: anti-de Sitter space;    Willmore maximal spacelike hypersurfaces;    constant scalar curvature;   

DOI  :  10.3934/math.2022708

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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) $.

【 授权许可】

CC BY