Four-Dimensional Pseudo-Riemannian Generalized Symmetric Spaces Which are Algebraic Ricci Solitons

被引：12

作者：

Batat, W. ^{[1
]}

Onda, K. ^{[2
]}

机构：

[1] Ecole Natl Polytech Oran, El Mnaouar 31000, Oran, Algeria

[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 464860, Japan

来源：

RESULTS IN MATHEMATICS | 2013年 / 64卷 / 3-4期

关键词：

Pseudo-Riemannian metrics; generalized symmetric spaces; algebraic Ricci solitons; MANIFOLDS;

D O I：

10.1007/s00025-013-0312-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify, up to isometry, non-symmetric simply-connected four-dimensional pseudo-Riemannian generalized symmetric spaces which are algebraic Ricci solitons. It turns out that those of Cerny-Kowalski's types A, C and D are algebraic Ricci solitons, whereas those of type B are not. Thus, we give new examples of algebraic Ricci solitons.

引用

页码：253 / 267

页数：15

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