The mean curvature and volume growth of complete noncompact submanifolds

被引：14

作者：

Cheung, LF

Leung, PF

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong

[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1998年 / 8卷 / 03期

关键词：

volume growth; bounded mean curvature;

D O I：

10.1016/S0926-2245(98)00010-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a complete noncompact submanifold with bounded mean curvature in the Euclidean or hyperbolic space has at least linear volume growth. We apply this to obtain some results on submanifolds of parallel mean curvature.

引用

页码：251 / 256

页数：6

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