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.
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页数：16
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