Quasi-Einstein metrics and plane waves

被引：1

作者：

Brozos-Vazquez, M. ^{[1
]}

Garcia-Rio, E. ^{[2
]}

Gavino-Fernandez, S. ^{[2
]}

机构：

[1] Univ A Coruna, Dept Math, La Coruna, Spain

[2] Univ Santiago Compostela, Dept Geometry & Topol, Santiago, Spain

来源：

XX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS | 2012年 / 1460卷

关键词：

Quasi-Einstein manifold; pp-wave; plane wave; Cahen-Wallach symmetric space; PSEUDO-RIEMANNIAN MANIFOLDS; LORENTZIAN MANIFOLDS;

D O I：

10.1063/1.4733376

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quasi-Einstein metrics on pp-waves are discussed, with special attention to plane waves. In particular, it is shown that indecomposable Lorentzian symmetric spaces and homogeneous Lorentzian spaces whose null geodesics are canonically homogeneous are quasi-Einstein manifolds.

引用

收藏

页码：174 / 179

页数：6

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