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.

引用

页码：179 / 192

页数：14

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