Three-dimensional homogeneous critical metrics for quadratic curvature functionals

被引：3
|
作者：
Brozos-Vazquez, M. [1 ]
Garcia-Rio, E. [2 ]
Caeiro-Oliveira, S. [2 ]
机构：
[1] Univ A Coruna, Escola Politecn Super, Differential Geometry & Its Applicat Res Grp, Dept Math, Ferrol 15403, Spain
[2] Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2021年 / 200卷 / 01期
关键词：
Quadratic curvature functional; Critical metric; Homogeneous space; Lie group; VARIATIONAL CHARACTERIZATION;
D O I：
10.1007/s10231-020-00999-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence of non-Einstein homogeneous critical metrics for any quadratic curvature functional in dimension three.
引用
收藏
页码：363 / 378
页数：16
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