Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form

被引：2

作者：

Hwang, Tae Yong ^{[1
]}

Ki, U-Hang ^{[2
]}

Kurihara, Hiroyuki ^{[3
]}

机构：

[1] Chosun Univ, Dept Math, Gwangju 61452, South Korea

[2] Natl Acad Siences, Seoul 06579, South Korea

[3] Ibaraki Univ, Coll Educ, Mito, Ibaraki 3108512, Japan

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2016年 / 56卷 / 04期

关键词：

complex space form; real hypersurface; structure Jacobi operator; mean curvature;

D O I：

10.5666/KMJ.2016.56.4.1207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a real hypersurface with constant mean curvature in a complex space form M-n(c), c not equal 0. In this paper, we prove that if the structure Jacobi operator R-xi = R(center dot,xi)xi with respect to the structure vector field xi is phi del(xi)xi parallel and R-xi commute with the structure tensor field phi, then M is a homogeneous real hypersurface of Type A.

引用

页码：1207 / 1235

页数：29

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