ON BIHARMONIC HYPERSURFACES WITH CONSTANT SCALAR CURVATURES IN S5

被引：7

作者：

Fu, Yu ^{[1
]}

机构：

[1] Dongbei Univ Finance & Econ, Sch Math & Quantitat Econ, Dalian 116025, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 12期

基金：

中国博士后科学基金;

关键词：

Biharmonic maps; biharmonic submanifolds; Chen's conjecture; Generalized Chen's conjecture; SUBMANIFOLDS;

D O I：

10.1090/proc/12677

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that proper biharmonic hypersurfaces with constant scalar curvature in Euclidean sphere S-5 must have constant mean curvature. Moreover, we also show that there exist no proper biharmonic hypersurfaces with constant scalar curvature in Euclidean space E-5 or hyperbolic space H-5, which give affirmative partial answers to Chen's conjecture and the Generalized Chen's conjecture.

引用

页码：5399 / 5409

页数：11

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