On stable currents and positively curved hypersurfaces

被引：3

作者：

Shen, YB ^{[1
]}

He, Q ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 01期

关键词：

stable currents; delta-pinched manifolds; delta-pinched hypersurfaces;

D O I：

10.1090/S0002-9939-00-05753-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a nonexistence theorem for stable currents (or stable varifolds) in complete delta-pinched hypersurfaces of a real space form with non-negative constant sectional curvature. This is a partial positive answer to the well-known conjecture of Lawson and Simons.

引用

页码：237 / 246

页数：10

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[No title captured]

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