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

页码：751 / 766

页数：16

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