Four-Dimensional Compact Manifolds with Nonnegative Biorthogonal Curvature

被引：9

作者：

Costa, Ezio ^{[1
]}

Ribeiro, Ernani, Jr. ^{[2
]}

机构：

[1] Univ Fed Bahia UFBA, Dept Matemat, BR-40170110 Salvador, BA, Brazil

[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2014年 / 63卷 / 04期

关键词：

4-MANIFOLDS; TOPOLOGY; METRICS;

D O I：

10.1307/mmj/1417799224

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The goal of this article is to study the pinching problem proposed by S.-T. Yau in 1990 replacing sectional curvature by a weaker condition on biorthogonal curvature: Moreover, we classify four-dimensional compact oriented Riemannian manifolds with nonnegative biorthogonal curvature. In particular, we obtain a partial answer to the Yau conjecture on pinching theorem for four-dimensional compact manifolds.

引用

页码：747 / 761

页数：15

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