Islands at infinity on manifolds of asymptotically nonnegative curvature

被引：0

作者：

Sérgio Mendonça

Detang Zhou

机构：

[1] Universidade Federal Fluminense (UFF),Departamento de Análise

[2] Universidade Federal Fluminense (UFF),Departamento de Geometria

来源：

Bulletin of the Brazilian Mathematical Society, New Series | 2008年 / 39卷

关键词：

nonnegative curvature; convexity; isometry group; 53C20; 53C42;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce an invariant which measures the R-eccentricity of a point in a complete Riemannian manifold M and show that it goes to zero when the point goes to infinity, if M has asymptotically nonnegative curvature. As a consequence we show that the isometry group is compact if M has asymptotically nonnegative curvature and a point with positive sectional curvature.

引用

页码：597 / 616

页数：19

共 14 条

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