Rigidity results for closed vacuum static spaces

被引:1
|
作者
Huang, Guangyue [1 ]
Wang, Botao [1 ]
机构
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 12期
关键词
Einstein; vacuum static space; zero radial Weyl curvature; SCALAR; CLASSIFICATION; MANIFOLDS;
D O I
10.3934/math.20231470
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we studied rigidity results for closed vacuum static spaces. By using the maximum principle, we achieved rigidity theorems under some pointwise inequalities and showed that the squared norm of the Ricci curvature tensor was discrete.
引用
收藏
页码:28728 / 28737
页数:10
相关论文
共 50 条
  • [1] Rigidity of closed vacuum static spaces
    Huang, Guangyue
    Guo, Qi
    Ma, Bingqing
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2025, 98
  • [2] On scalar curvature rigidity of vacuum static spaces
    Jie Qing
    Wei Yuan
    Mathematische Annalen, 2016, 365 : 1257 - 1277
  • [3] On scalar curvature rigidity of vacuum static spaces
    Qing, Jie
    Yuan, Wei
    MATHEMATISCHE ANNALEN, 2016, 365 (3-4) : 1257 - 1277
  • [4] Rigidity of generalized Bach-flat vacuum static spaces
    Yun, Gabjin
    Hwang, Seungsu
    JOURNAL OF GEOMETRY AND PHYSICS, 2017, 121 : 195 - 205
  • [5] Closed three-dimensional vacuum static spaces
    Xu, Xingwang
    Ye, Jian
    INVENTIONES MATHEMATICAE, 2023, 231 (03) : 1541 - 1542
  • [6] Closed Vacuum Static Spaces with Zero Radial Weyl Curvature
    Ye, Jian
    JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (02)
  • [7] Closed Vacuum Static Spaces with Zero Radial Weyl Curvature
    Jian Ye
    The Journal of Geometric Analysis, 2023, 33
  • [8] RETRACTED ARTICLE: Closed three-dimensional vacuum static spaces
    Xingwang Xu
    Jian Ye
    Inventiones mathematicae, 2023, 231 : 1541 - 1542
  • [9] INSTABILITY OF THE STATIC SOLUTION TO THE CLOSED STRING WITH RIGIDITY
    BRAATEN, E
    ZACHOS, CK
    PHYSICAL REVIEW D, 1987, 35 (04): : 1512 - 1514
  • [10] RIGIDITY OF CLOSED METRIC MEASURE SPACES WITH NONNEGATIVE CURVATURE
    Wu, Jia-Yong
    KODAI MATHEMATICAL JOURNAL, 2016, 39 (03) : 489 - 499