On Real Hypersurfaces in S2 x S2 and H2 x H2 with Parallel Normal Jacobi Operator

被引：0
|
作者：
Hu, Zejun [1 ]
Lu, Xiaoge [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Parallel real hypersurface; normal Jacobi operator; S-2 x S-2 and H-2 x H-2; Levi-Civita connection; k-generalized Tanaka-Webster connection;
D O I：
10.1007/s00009-024-02674-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study real hypersurfaces of the two Kahler surfaces S-2 x S-2 and H-2 x H-2. As the main results, amongst others, we classify all such hypersurfaces whose normal Jacobi operators are parallel with respect to either the Levi-Civita connection or the k-generalized Tanaka-Webster connection.
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页数：16
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