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
  • [21] Entire translating graphs in weighted product spaces: Rigidity and nonexistence results
    Batista, Marcio
    Bisci, Giovanni Molica
    de Lima, Henrique
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2022, 83
  • [22] Rigidity results for Riemannian twistor spaces under vanishing curvature conditions
    Catino, G.
    Dameno, D.
    Mastrolia, P.
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2023, 63 (02)
  • [23] The rigidity of Hamming spaces
    Lebedev, V. S.
    General Theory of Information Transfer and Combinatorics, 2006, 4123 : 1093 - 1094
  • [24] Rigidity on symmetric spaces
    Kim, I
    TOPOLOGY, 2004, 43 (02) : 393 - 405
  • [25] STATIC RIGIDITY OF A BED PLATE
    DE, AK
    INDIAN JOURNAL OF TECHNOLOGY, 1966, 4 (12): : 362 - &
  • [26] Some Rigidity Theorems of Closed Geodesic Polygons and Spherical Curves in Metric Spaces with Curvature Bounded Below
    Phokaew, Chanpen
    Sama-ae, Areeyuth
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (04): : 3932 - 3944
  • [27] Original rigidity and static rigidity, a study on phenomena of fatigue.
    Ludwik, P
    ZEITSCHRIFT DES VEREINES DEUTSCHER INGENIEURE, 1913, 57 : 209 - 213
  • [28] RIGIDITY PROBLEM FOR STABLE SPACES
    KAHN, DW
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 75 (01) : 139 - 144
  • [29] Homogeneity and rigidity in Erdos spaces
    Hart, Klaas P.
    van Mill, Jan
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2018, 59 (04): : 495 - 501
  • [30] ENTROPY RIGIDITY FOR METRIC SPACES
    Lim, Seonhee
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2012, 19 (01): : 73 - 86
12345