THREE-DIMENSIONAL LORENTZIAN HOMOGENEOUS RICCI SOLITONS

被引：77

作者：

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

Calvaruso, G. ^{[2
]}

Garcia-Rio, E. ^{[3
]}

Gavino-Fernandez, S. ^{[3
]}

机构：

[1] Univ A Coruna, Dept Math, EU Politecn, Ferrol, Spain

[2] Univ Salento, Dipartimento Matemat E De Giorgi, Lecce, Italy

[3] Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2012年 / 188卷 / 01期

关键词：

MANIFOLDS; METRICS;

D O I：

10.1007/s11856-011-0124-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study three-dimensional Lorentzian homogeneous Ricci solitons, proving the existence of shrinking, expanding and steady Ricci solitons. For all the non-trivial examples, the Ricci operator is not diagonalizable and has three equal eigenvalues.

引用

页码：385 / 403

页数：19

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