Volume growth and holonomy in nonnegative curvature

被引：2

作者：

Tapp, K ^{[1
]}

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 10期

关键词：

volume growth; holonomy; nonnegative curvature; soul;

D O I：

10.1090/S0002-9939-99-04893-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The volume growth of an open manifold of nonnegative sectional curvature is proven to be bounded above by the difference between the codimension of the soul and the maximal dimension of an orbit of the action of the normal holonomy group of the soul. Additionally, an example of a simply-connected soul with a non-compact normal holonomy group is constructed.

引用

页码：3035 / 3041

页数：7

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