REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH COMMUTING JACOBI OPERATORS

被引：0
|
作者：
Lee, Hyunjin [1 ]
Suh, Young Jin [2 ]
Woo, Changhwa [2 ]
机构：
[1] Pohang Univ Sci & Technol, Ctr Geometry & Applicat, Pohang 790784, South Korea
[2] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2014年 / 40卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Real hypersurfaces; complex two-plane Grassmannians; Hopf hypersurface; structure tensor; structure Jacobi operator; normal Jacobi operator; shape operator; commuting condition;
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 introduce a new commuting condition composed of the Jacobi operator R-X, the structure tensor phi and the shape operator A for Hopf hypersurfaces M in complex two-plane Grassmannians G(2)(Cm+2). By using such a commuting condition, we give a complete classification of Hopf hypersurfaces in G(2)(Cm+2).
引用
收藏
页码：751 / 766
页数：16
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