Ricci solitons on Lorentzian Walker three-manifolds

被引：20

作者：

Calvaruso, G. ^{[1
]}

De Leo, B. ^{[1
]}

机构：

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

来源：

ACTA MATHEMATICA HUNGARICA | 2011年 / 132卷 / 03期

关键词：

Ricci soliton; Walker structure; Lorentzian manifold;

D O I：

10.1007/s10474-010-0049-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate Ricci solitons on Lorentzian three-manifolds (M,g (f) ) admitting a parallel degenerate line field. For several classes of these manifolds, described in terms of the defining function f, the existence of non-trivial Ricci solitons is proved.

引用

收藏

页码：269 / 293

页数：25

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