Gravitational instantons of constant curvature

被引：20
|
作者：
Ratcliffe, JG [1 ]
Tschantz, ST [1 ]
机构：
[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
来源：
CLASSICAL AND QUANTUM GRAVITY | 1998年 / 15卷 / 09期
关键词：
D O I：
10.1088/0264-9381/15/9/009
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper. we classify all closed flat 4-manifolds that have a reflective symmetry along a separating totally geodesic hypersurface. We also give examples of small-volume hyperbolic 4-manifolds that have a reflective symmetry along a separating totally geodesic hypersurface. Our examples are constructed by gluing together polytopes in hyperbolic 4-space.
引用
收藏
页码：2613 / 2627
页数：15
相关论文
共 50 条
  • [1] Electromagnetic resolution of curvature and gravitational instantons
    Dadhich, NK
    Marathe, KB
    Martucci, G
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1999, 114 (07): : 793 - 806
  • [2] GRAVITATIONAL INSTANTONS AND QUANTIZATION OF THE COSMOLOGICAL CONSTANT
    MOSS, I
    [J]. PHYSICS LETTERS B, 1992, 283 (1-2) : 52 - 54
  • [3] Gravitational instantons with faster than quadratic curvature decay (III)
    Gao Chen
    Xiuxiong Chen
    [J]. Mathematische Annalen, 2021, 380 : 687 - 717
  • [4] Gravitational instantons with faster than quadratic curvature decay (III)
    Chen, Gao
    Chen, Xiuxiong
    [J]. MATHEMATISCHE ANNALEN, 2021, 380 (1-2) : 687 - 717
  • [5] Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry
    Biquard, Olivier
    Gauduchon, Paul
    LeBrun, Claude
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024,
  • [6] Gravitational instantons with faster than quadratic curvature decay (II)
    Chen, Gao
    Chen, Xiuxiong
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2019, 756 : 259 - 284
  • [7] Gravitational instantons with faster than quadratic curvature decay. I
    Chen, Gao
    Chen, Xiuxiong
    [J]. ACTA MATHEMATICA, 2021, 227 (02) : 263 - 307
  • [8] GRAVITATIONAL INSTANTONS
    PERRY, MJ
    [J]. ANNALS OF MATHEMATICS STUDIES, 1982, (102): : 603 - 630
  • [9] GRAVITATIONAL INSTANTONS
    EGUCHI, T
    HANSON, AJ
    [J]. GENERAL RELATIVITY AND GRAVITATION, 1979, 11 (05) : 315 - 320
  • [10] GRAVITATIONAL INSTANTONS
    HAWKING, SW
    [J]. PHYSICS LETTERS A, 1977, 60 (02) : 81 - 83
12345