Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type

被引：9

作者：

Machado, Carlos J. G. ^{[1
]}

de Dios Perez, Juan ^{[1
]}

Jeong, Imsoon ^{[2
]}

Suh, Young Jin ^{[2
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, Granada, Spain

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

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2011年 / 9卷 / 03期

关键词：

Real hypersurfaces; Complex two-plane Grassmannians; Normal Jacobi operator; Codazzi type; PROJECTIVE-SPACE;

D O I：

10.2478/s11533-011-0022-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the non-existence of real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type.

引用

页码：578 / 582

页数：5

共 6 条

[1] ALEKSEEVSKII DV, 1968, FUNCTIONAL ANAL APPL, V2, P106, DOI DOI 10.1007/BF01075944
[2] [Anonymous], CHAPMAN HALL CRC RES
[3] Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians
Berndt, J
Suh, YJ
[J]. MONATSHEFTE FUR MATHEMATIK, 2002, 137 (02): : 87 - 98
[4] Jeong I, 2010, PUBL MATH-DEBRECEN, V76, P203
[5] REAL HYPERSURFACES AND COMPLEX SUBMANIFOLDS IN COMPLEX PROJECTIVE-SPACE
KIMURA, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 296 (01) : 137 - 149
[6] REAL HYPERSURFACES IN QUATERNIONIC PROJECTIVE-SPACE
MARTINEZ, A
PEREZ, JD
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1986, 145 : 355 - 384