Closed three-dimensional vacuum static spaces

• 成果类型: Article
• 署名作者: Xu, Xingwang; Ye, Jian
• 署名单位: Nanjing University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-022-01139-4
• 发表日期: 2023
• 页码: 1541-1542
• 关键词: SCALAR CURVATURE; CLASSIFICATION; solitons

摘要

This article is devoted to the study of the closed vacuum static spaces. Based on the argument of maximum principle, we show that three-dimensional closed vacuum static spaces with scalar curvature 6 must be isometric to either the standard unit sphere S-3 (1) or a finite quotient of the torus S-1 (root 1/3) x S-2 (root 1/3).