FOUR-MANIFOLDS WITH POSITIVE CURVATURE

被引：2

作者：

Diogenes, R. ^{[1
]}

Ribeiro, E. ^{[2
]}

Rufino, E. ^{[3
]}

机构：

[1] UNILAB, Inst Ciencias Exatas & Nat, Campus Palmares,ROD CE 060,KM 51, BR-62785000 Acarape, CE, Brazil

[2] Univ Fed Ceara UFC, Dept Matemat, CAMPUS Pici,Av Humberto Monte,Bloco 914, BR-60455760 Fortaleza, Ceara, Brazil

[3] Univ Fed Roraima UFRR, Dept Matemat, Campus Paricarana,Av CAP Ene Garcez 2413, BR-69310000 Boa Vista, Parana, Brazil

来源：

GLASGOW MATHEMATICAL JOURNAL | 2021年 / 63卷 / 02期

关键词：

4-DIMENSIONAL MANIFOLDS; NONNEGATIVE CURVATURE; EINSTEIN; 4-MANIFOLDS;

D O I：

10.1017/S0017089520000130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove that a four-dimensional compact oriented half-conformally flat Riemannian manifold M4 is topologically S-4 or CP2, provided that the sectional curvatures all lie in the interval [3 root 3-5/4, 1]. In addition, we use the notion of biorthogonal (sectional) curvature to obtain a pinching condition which guarantees that a four-dimensional compact manifold is homeomorphic to a connected sum of copies of the complex projective plane or the 4-sphere.

引用

页码：245 / 257

页数：13

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