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 50 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] Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension
Globke, Wolfgang
Nikolayevsky, Yuri
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, 54 : 475 - 489
[4] Non-reductive homogeneous pseudo-Riemannian manifolds of dimension four
Fels, ME
Renner, AG
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2006, 58 (02): : 282 - 311
[5] On locally homogeneous pseudo-Riemannian compact Einstein manifolds
Bochenski, Maciej
Tralle, Aleksy
JOURNAL OF GEOMETRY AND PHYSICS, 2020, 155
[6] CONFORMALLY FLAT HOMOGENEOUS PSEUDO-RIEMANNIAN FOUR-MANIFOLDS
Calvaruso, Giovanni
Zaeim, Amirhesam
TOHOKU MATHEMATICAL JOURNAL, 2014, 66 (01) : 31 - 54
[7] LOCALLY HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS
PATRANGENARU, V
JOURNAL OF GEOMETRY AND PHYSICS, 1995, 17 (01) : 59 - 72
[8] COMPLETENESS OF HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS
MARSDEN, J
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1973, 22 (11) : 1065 - 1066
[9] FLAT HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS
WOLF, JA
GEOMETRIAE DEDICATA, 1995, 57 (01) : 111 - 120
[10] Reductive homogeneous pseudo-Riemannian manifolds
Pedro M. Gadea
José A. Oubiña
Monatshefte für Mathematik, 1997, 124 : 17 - 34

← 1 2 3 4 5 →