Real hypersurfaces of type (A) in complex two-plane Grassmannians related to the commuting shape operator

被引：6
|
作者：
Jeong, Imsoon [1 ]
Suh, Young Jin [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
FORUM MATHEMATICUM | 2013年 / 25卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Real hypersurfaces; complex two-plane Grassmannians; Hopf hypersurface; commuting shape operator;
D O I：
10.1515/forum-2012-0029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give some characterizations of real hypersurfaces of type (A) in complex two plane Grassmannians G(2)(Cm+2), that is, a tube over a totally geodesic G(2)(Cm+1) in G(2)(Cm+2) with the commuting condition Lambda phi(1)phi = phi(1)phi Lambda for the shape operator Lambda, the structure tensors phi and phi(1), together with additional geometric conditions.
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页码：179 / 192
页数：14
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