Mm(c)×R中具有平行平均曲率的2-调和子流形

doi:10.3969/j.issn.0253-2778.2020.03.008

中国科学技术大学学报 ›› 2020, Vol. 50 ›› Issue (3): 312-316.DOI: 10.3969/j.issn.0253-2778.2020.03.008

Mm(c)×R中具有平行平均曲率的2-调和子流形

米蓉

西北师范大学数学与统计学院，甘肃兰州 730070

收稿日期:2019-04-20 修回日期:2019-07-12 接受日期:2019-07-12 出版日期:2020-03-31 发布日期:2019-07-12

Biharmonic submanifolds with mean parallel curvature on Mm(c)×R

MI Rong

Received:2019-04-20 Revised:2019-07-12 Accepted:2019-07-12 Online:2020-03-31 Published:2019-07-12
About author:Mi Rong, female, born in 1993, a doctoral candidate. Research field: differential geometry. E-mail: mr8231227@163.com.

摘要/Abstract

摘要： 令Mn为n维子流形，其乘积的平均曲率H为Mm(c)×R,其中，Mm(c)具是截面曲率c为常数的空间型. 通过利用Simons不等式，得到了一系列结果.

关键词: 2-调和子流形, 具有平行平均曲率, 乘积空间型

Abstract: Let Mn be an n-dimensional submanifold with parallel mean curvature H of product space form Mm(c)×R, where Mm(c) is a space form with constant sectional curvature c. By using the method of Simons inequality, a series of results are obtained.

Key words: biharmonic submanifold, with parallel mean curvature, product space form

中图分类号:

O157.4

米蓉. Mm(c)×R中具有平行平均曲率的2-调和子流形[J]. 中国科学技术大学学报, 2020, 50(3): 312-316.

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Mm(c)×R中具有平行平均曲率的2-调和子流形

Biharmonic submanifolds with mean parallel curvature on Mm(c)×R

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