On complete open manifolds with non-negative curvature along ray directions

被引：0

作者：

Xu, SL ^{[1
]}

Mei, JQ ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 1998年 / 18卷 / 02期

关键词：

Busemann function; exhaustion function; subharmonic function; convex function; end;

D O I：

10.1016/S0252-9602(17)30753-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors study complete open manifolds whose curvature is non-negative along ray directions. They prove that such manifold has infinite volume. Cheeger-Gromoll's splitting; theorem is generalized. They also study topology of such manifolds.

引用

页码：197 / 202

页数：6

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