LOCALLY CONFORMALLY FLAT MANIFOLDS WITH CONSTANT SCALAR CURVATURE

被引：0

作者：

He, Huiya ^{[1
]}

Li, Haizhong ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 12期

关键词：

Locally conformally flat manifold; constant scalar curvature; Ricci curvature; RIEMANNIAN-MANIFOLDS;

D O I：

10.1090/proc/14148

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (M-n, g) be an n-dimensional (n >= 4) compact locally conformally flat Riemannian manifold with constant scalar curvature and constant squared norm of Ricci curvature. Applying the moving frame method, we prove that such a Riemannian manifold does not exist if its Ricci curvature tensor has three distinct eigenvalues.

引用

页码：5367 / 5378

页数：12

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