LOW-DIMENSIONAL MANIFOLDS WITH NON-NEGATIVE CURVATURE AND MAXIMAL SYMMETRY RANK

被引：22

作者：

Galaz-Garcia, Fernando ^{[1
]}

Searle, Catherine ^{[2
]}

机构：

[1] Univ Munster, Math Inst, D-48149 Munster, Germany

[2] Univ Autonoma Mexico, Inst Matemat, Unidad Cuernavaca, Cuernavaca, Morelos, Mexico

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 07期

关键词：

EFFECTIVE TORUS ACTIONS; TOPOLOGICAL STRUCTURE; 4-MANIFOLDS; BIQUOTIENTS;

D O I：

10.1090/S0002-9939-2010-10655-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify closed, simply connected n-manifolds of non-negative sectional curvature admitting an isometric torus action of maximal symmetry rank in dimensions 2 <= n <= 6. In dimensions 3k, k = 1,2 there is only one such manifold and it is diffeomorphic to the product of k copies of the 3-sphere.

引用

页码：2559 / 2564

页数：6

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