A sphere theorem on locally conformally flat even-dimensional manifolds

被引：5

作者：

Catino, Giovanni ^{[1
]}

Djadli, Zindine ^{[2
]}

Ndiaye, Cheikh Birahim ^{[3
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

[2] Inst Fournier, UMR 5582, F-38402 St Martin Dheres, France

[3] SISSA, I-34014 Trieste, Italy

来源：

MANUSCRIPTA MATHEMATICA | 2011年 / 136卷 / 1-2期

关键词：

POSITIVE SCALAR CURVATURE; SCHOUTEN TENSOR; GEOMETRY; 4-MANIFOLDS; EQUATIONS;

D O I：

10.1007/s00229-011-0443-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that a closed even-dimensional manifold which is locally conformally flat with positive scalar curvature, positive Euler characteristic and which satisfies some additional condition on its curvature is diffeomorphic to the sphere or projective space.

引用

页码：237 / 247

页数：11

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