BIHARMONIC SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD

被引：0

作者：

Koiso, Norihito ^{[1
]}

Urakawa, Hajime ^{[2
,3
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

[2] Tohoku Univ, Grad Sch Informat Sci, Div Math, Aoba 6-3-09, Sendai, Miyagi 9808579, Japan

[3] Tohoku Univ, Inst Int Educ, Kawauchi 41, Sendai, Miyagi 9808576, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2018年 / 55卷 / 02期

关键词：

HYPERSURFACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we solve affirmatively B.-Y. Chen's conjecture for hypersurfaces in the Euclidean space, under a generic condition. More precisely, every biharmonic hypersurface of the Euclidean space must be minimal if their principal curvatures are simple, and the associated frame field is irreducible.

引用

页码：325 / 346

页数：22

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