Islands at infinity on manifolds of asymptotically nonnegative curvature

被引：0

作者：

Mendonca, Sergio ^{[1
]}

Zhou, Detang ^{[2
]}

机构：

[1] Univ Fed Fluminense, Dept Anal, BR-24020140 Niteroi, RJ, Brazil

[2] Univ Fed Fluminense, Dept Geometria, BR-24020140 Niteroi, RJ, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2008年 / 39卷 / 04期

关键词：

nonnegative curvature; convexity; isometry group;

D O I：

10.1007/s00574-008-0007-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：20

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