On Compact Riemannian Manifolds with Harmonic Weyl Curvature

被引：4

作者：

Fu, Hai-Ping ^{[1
]}

He, Hui-Ya ^{[2
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

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

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 02期

关键词：

Einstein manifold; harmonic Weyl curvature; Schouten tensor; L-P-NORM; 4-MANIFOLDS; THEOREMS;

D O I：

10.1007/s00025-019-0994-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give some rigidity theorems for an n-dimensional (n4) compact Riemannian manifold with harmonic Weyl curvature, positive scalar curvature and positive constant sigma 2 curvature. Moreover, we prove that a 4-dimensional compact locally conformally flat Riemannian manifold with positive scalar curvature and positive constant sigma 2 curvature is isometric to a quotient of the round S4.

引用

页数：16

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