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

页码：19 / 22

页数：4

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