Three-dimensional conformally symmetric manifolds

被引：6
|
作者：
Calvino-Louzao, E. [1 ]
Garcia-Rio, E. [1 ]
Seoane-Bascoy, J. [1 ]
Vazquez-Lorenzo, R. [1 ]
机构：
[1] Univ Santiago de Compostela, Fac Math, Dept Geometry & Topol, Santiago De Compostela 15782, Spain
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2014年 / 193卷 / 06期
关键词：
Cotton tensor; Conformally symmetric spaces; LORENTZIAN MANIFOLDS; RICCI SOLITONS;
D O I：
10.1007/s10231-013-0349-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonexistence of nontrivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete local classification is obtained. Furthermore, the isometry classes are examined.
引用
收藏
页码：1661 / 1670
页数：10
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