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
收藏
页码：3917 / 3923
页数：7
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