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.
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页码：211 / 216
页数：6
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