Curvature properties and Ricci solitons of Lorentzian pr-waves manifolds

被引：5

作者：

Batat, W. ^{[1
]}

机构：

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

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2014年 / 75卷

关键词：

Ricci solitons; pr-waves manifolds; Lorentzian metrics; Conformally flat; SPACES; METRICS;

D O I：

10.1016/j.geomphys.2013.08.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the curvature properties of Lorentzian pr-waves manifolds. Several interesting examples are found, in particular as regards local symmetry, conformal flatness and Einstein-like metrics. The existence of non-trivial (i.e., not Einstein) Ricci solitons on conformally flat pr-waves manifolds is proved. Moreover, we show that only steady Ricci solitons may be gradient. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：7 / 16

页数：10

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