CURVATURE PINCHING FOR 3-DIMENSIONAL MINIMAL SUBMANIFOLDS IN A SPHERE

被引：21

作者：

SHEN, YB

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 03期

关键词：

D O I：

10.2307/2159229

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some pinching theorems for the Ricci curvature and the scalar curvature of three-dimensional compact minimal submanifolds in a sphere are given.

引用

页码：791 / 795

页数：5

相关论文

共 5 条

[1] Chern S.S., 1970, FUNCTIONAL ANAL RELA, P59, DOI [DOI 10.1007/978-3-642-48272-4_2, 10.1007/978-3-642-48272-4_2]
[2] COMPACT MINIMAL SUB-MANIFOLDS OF A SPHERE WITH POSITIVE RICCI CURVATURE
EJIRI, N
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1979, 31 (02) : 251 - 256
[3] MASHIMO K, 1984, OSAKA J MATH, V21, P721
[4] SHEN YB, 1989, SCI CHINA SER A, V32, P769
[5] MINIMAL VARIETIES IN RIEMANNIAN MANIFOLDS
SIMONS, J
[J]. ANNALS OF MATHEMATICS, 1968, 88 (01) : 62 - &

← 1 →