ON GRADIENT RICCI SOLITONS WITH CONSTANT SCALAR CURVATURE

被引：23

作者：

Fernandez-Lopez, Manuel ^{[1
]}

Garcia-Rio, Eduardo ^{[2
]}

机构：

[1] Xunta Galicia, Conselleria Educ, IES Maria Sarmiento, Lugo, Spain

[2] Univ Santiago de Compostela, Fac Math, Santiago De Compostela, Galicia, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 01期

关键词：

Gradient Ricci soliton; scalar curvature;

D O I：

10.1090/proc/12693

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the theory of isoparametric functions to investigate gradient Ricci solitons with constant scalar curvature. We show rigidity of gradient Ricci solitons with constant scalar curvature under some conditions on the Ricci tensor, which are all satisfied if the manifold is curvature homogeneous. This leads to a complete description of four-and six-dimensional Kahler gradient Ricci solitons with constant scalar curvature.

引用

页码：369 / 378

页数：10

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