REAL HYPERSURFACES IN NONFLAT COMPLEX SPACE FORMS WITH REEB RECURRENCE CONDITION

被引：0

作者：

Wang, Yaning ^{[1
]}

Wang, Pei ^{[1
]}

机构：

[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2023年 / 76卷 / 08期

关键词：

hypersurface; complex space form; structure Lie operator; Reeb Lie Reeb recurrent;

D O I：

10.7546/CRABS.2023.08.02

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we prove that the structure Lie operator of a real hypersurface in a nonflat complex space form is Reeb recurrent if and only if it is Lie Reeb recurrent, and this is equivalent to that the hypersurface is of type (A).

引用

页码：1168 / 1175

页数：8

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