Four-dimensional pseudo-Riemannian homogeneous Ricci solitons

被引：36

作者：

Calvaruso, Giovanni ^{[1
]}

Fino, Anna ^{[2
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, I-73100 Lecce, Italy

[2] Univ Torino, Dipartimento Matemat, I-10123 Turin, Italy

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2015年 / 12卷 / 05期

关键词：

Ricci solitons; homogeneous pseudo-Riemannian manifolds; Ricci operator; MANIFOLDS; EXAMPLES;

D O I：

10.1142/S0219887815500565

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider four-dimensional homogeneous pseudo-Riemannian manifolds with non-trivial isotropy and completely classify the cases giving rise to non-trivial homogeneous Ricci solitons. In particular, we show the existence of non-compact homogeneous (and also invariant) pseudo-Riemannian Ricci solitons which are not isometric to solvmanifolds, and of conformally flat homogeneous pseudo-Riemannian Ricci solitons which are not symmetric.

引用

页数：21

共 31 条

[1] Ricci solitons and Einstein-scalar field theory [J].