MINIMAL SUBMANIFOLDS WITH FLAT NORMAL BUNDLE

被引：5

作者：

Fu, Hai-Ping ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China

来源：

KODAI MATHEMATICAL JOURNAL | 2010年 / 33卷 / 02期

关键词：

Minimal submanifolds; flat normal bundle; SURFACES; THEOREMS;

D O I：

10.2996/kmj/1278076337

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-n (n <= 7) be an n-dimensional complete immersed super stable minimal submanifold in an (n + p)-dimensional Euclidean space Rn+p with flat normal bundle. We prove that if the second fundamental form A of M satisfies integral(M) vertical bar A vertical bar(3) < infinity, then M is an affine n-dimensional plane.

引用

页码：211 / 216

页数：6

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