Manifolds of low cohomogeneity and positive Ricci curvature

被引：5

作者：

Bechtluft-Sachs, S. ^{[1
]}

Wraith, D. J. ^{[1
]}

机构：

[1] Natl Univ Ireland Maynooth, Dept Math, Maynooth, Kildare, Ireland

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2010年 / 28卷 / 03期

关键词：

Asystatic actions; Cohomogeneity; Group actions; Positive Ricci curvature; Three-manifolds; RIEMANNIAN-MANIFOLDS; EVEN DIMENSION; CONNECTED-SUMS; SPHERES;

D O I：

10.1016/j.difgeo.2009.10.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify compact asystatic G-manifolds with fixed point singular orbits in cohomogeneity <= 3 up to equivariant diffeomorphism. From this we derive existence results for invariant metrics of positive Ricci curvature on such objects. We also develop non-existence results for invariant metrics of positive Ricci curvature in cohomogeneity four. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：282 / 289

页数：8

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