On manifolds with quadratic curvature decay

被引：3

作者：

Yeganefar, Nader ^{[1
]}

机构：

[1] Univ Provence, CMI, F-13453 Marseille 13, France

来源：

COMPOSITIO MATHEMATICA | 2009年 / 145卷 / 02期

关键词：

asymptotic geometry; asymptotic cones; NONNEGATIVE RICCI CURVATURE; LOWER BOUNDS; GEOMETRY; EXAMPLES;

D O I：

10.1112/S0010437X09003947

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give conditions which imply that a complete noncompact manifold with quadratic curvature decay has finite topological type. In particular, we find links between the topology of a manifold with quadratic curvature decay and some properties of the asymptotic cones of such a manifold.

引用

页码：528 / 540

页数：13

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