Real hypersurfaces in complex space forms with Reeb flow symmetric structure Jacobi operator

被引：9

作者：

Cho, Jong Taek ^{[1
]}

Ki, U-Hang

机构：

[1] Chonnam Natl Univ, Dept Math, Kwangju 500757, South Korea

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2008年 / 51卷 / 03期

关键词：

complex space form; real hypersurface; structure Jacobi operator;

D O I：

10.4153/CMB-2008-036-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied. Among them, homogeneous real hypersurfaces of type (A) in a complex projective or hyperbolic space are characterized as those whose structure Jacobi operator commutes with the shape operator.

引用

页码：359 / 371

页数：13

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