Real Hypersurfaces with Pseudo-parallel Normal Jacobi Operator in Complex Two-Plane Grassmannians

被引：3

作者：

De, Avik ^{[1
]}

Loo, Tee-How ^{[2
]}

机构：

[1] Univ Tunku Abdul Rahman, Dept Math & Actuarial Sci, Cheras 43000, Malaysia

[2] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

来源：

FILOMAT | 2017年 / 31卷 / 12期

关键词：

Complex two-plane Grassmannians; semi-parallel normal Jacobi operator; pseudo-parallel normal Jacobi operator; SPACE-FORMS; SUBMANIFOLDS;

D O I：

10.2298/FIL1712917D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of the present paper is to prove the non-existence of real hypersurface with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians. As a corollary, we show that there does not exist any real hypersurface with semi-parallel or recurrent normal Jacobi operator in complex two-plane Grassmannians. This answers a question considered in [Monatsh Math, 172 (2013), 167-178] in negative.

引用

页码：3917 / 3923

页数：7

共 18 条

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