Einstein-like Pseudo-Riemannian Homogeneous Manifolds of Dimension Four

被引：8

作者：

Zaeim, Amirhesam ^{[1
]}

Haji-Badali, Ali ^{[2
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

[2] Univ Bonab, Basic Sci Fac, Dept Math, Bonab 55517, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Non-trivial isotropy; invariant metrics; Einstein-like manifold; homogeneous space; Ricci tensor; LORENTZIAN MANIFOLDS;

D O I：

10.1007/s00009-016-0696-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A full classification of invariant Einstein-like metrics on four-dimensional pseudo-Riemannian homogeneous spaces with non-trivial isotropy is given. Specially, proper examples of Codazzi manifolds which are not conformally flat have been presented.

引用

页码：3455 / 3468

页数：14

共 26 条

[1] Einstein-like Pseudo-Riemannian Homogeneous Manifolds of Dimension Four
Amirhesam Zaeim
Ali Haji-Badali
Mediterranean Journal of Mathematics, 2016, 13 : 3455 - 3468
[2] On Pseudo-Riemannian Cyclic Homogeneous Manifolds of Dimension Four
Tohidfar, Atefeh
Zaeim, Amirhesam
JOURNAL OF LIE THEORY, 2021, 31 (01) : 169 - 187
[3] On locally homogeneous pseudo-Riemannian compact Einstein manifolds
Bochenski, Maciej
Tralle, Aleksy
JOURNAL OF GEOMETRY AND PHYSICS, 2020, 155
[4] CONFORMALLY FLAT HOMOGENEOUS PSEUDO-RIEMANNIAN FOUR-MANIFOLDS
Calvaruso, Giovanni
Zaeim, Amirhesam
TOHOKU MATHEMATICAL JOURNAL, 2014, 66 (01) : 31 - 54
[5] Pseudo-Riemannian Einstein metrics on noncompact homogeneous spaces
Yan, Zaili
JOURNAL OF GEOMETRY, 2020, 111 (01)
[6] Two-step homogeneous geodesics in pseudo-Riemannian manifolds
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Giovanni Calvaruso
Nikolaos Panagiotis Souris
Annals of Global Analysis and Geometry, 2021, 59 : 297 - 317
[7] Introduction to Actions of Discrete Groups on Pseudo-Riemannian Homogeneous Manifolds
Toshiyuki Kobayashi
Acta Applicandae Mathematica, 2002, 73 : 115 - 131
[8] Two-step homogeneous geodesics in pseudo-Riemannian manifolds
Arvanitoyeorgos, Andreas
Calvaruso, Giovanni
Souris, Nikolaos Panagiotis
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2021, 59 (03) : 297 - 317
[9] Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds
Kobayashi, T
ACTA APPLICANDAE MATHEMATICAE, 2002, 73 (1-2) : 115 - 131
[10] Einstein-Like Curvature Homogeneous Lorentzian Three-Manifolds
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RESULTS IN MATHEMATICS, 2009, 55 (3-4) : 295 - 310

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