REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH D⊥-PARALLEL STRUCTURE JACOBI OPERATOR

被引：35

作者：

Jeong, Imsoon ^{[1
]}

Machado, Carlos J. G. ^{[2
]}

De Dios Perez, Juan ^{[2
]}

Suh, Young Jin ^{[1
]}

机构：

[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

[2] Univ Granada, Fac Ciencias, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2011年 / 22卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

Real hypersurfaces; complex two-plane Grassmannians; D-perpendicular to-parallel; structure Jacobi operator; Hopf hypersurface; QUATERNIONIC PROJECTIVE-SPACE; RICCI TENSOR; XI-PARALLEL; FORMS;

D O I：

10.1142/S0129167X11006957

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give some non-existence theorems for Hopf real hypersurfaces in complex two-plane Grassmannians G(2)(Cm+2) with D-perpendicular to-parallel structure Jacobi operator, where D-perpendicular to = Span {xi(1), xi(2), xi(3)}.

引用

页码：655 / 673

页数：19

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