COMMUTING STRUCTURE JACOBI OPERATOR FOR HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS

被引：1
|
作者：
Jeong, Imsoon [1 ]
Suh, Young Jin [2 ]
Yang, Hae Young [2 ]
机构：
[1] Natl Inst Math Sci, Taejon 305340, South Korea
[2] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 03期
关键词：
real hypersurfaces; complex two-plane Grassmannians; commuting structure Jacobi operator; geodesic Reeb flow; REAL HYPERSURFACES; PROJECTIVE-SPACE; SHAPE OPERATOR; RICCI TENSOR; XI-PARALLEL; FORMS;
D O I：
10.4134/BKMS.2009.46.3.447
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give a non-existence theorem for Hopf real hypersurfaces in complex two-plane Grassmannians G(2) (Cm+2) satisfying the condition that the structure Jacobi operator R-xi commutes with the 3-structure tensors phi(i), i = 1, 2, 3.
引用
收藏
页码：447 / 461
页数：15
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