A note on Einstein four-manifolds with positive curvature

被引：4
|
作者：
Wu, Peng [1 ]
机构：
[1] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2017年 / 114卷
关键词：
Einstein four-manifolds; Positive sectional curvature; Weitzenbock formula; RIEMANNIAN GEOMETRY; MANIFOLDS;
D O I：
10.1016/j.geomphys.2016.11.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this short note we prove that an oriented Einstein four-manifold with Ric = g and sectional curvature K >= 1/30 (19-root 271) is isometric to (S-4, go) or (CP2, g(FS)) up to rescaling. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：19 / 22
页数：4
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