On Real Hypersurfaces in $${\mathbb {S}}^2\times {\mathbb {S}}^2$$ and $${\mathbb {H}}^2\times {\mathbb {H}}^2$$ with Parallel Normal Jacobi Operator

IF 1.1 3区 数学 Q1 MATHEMATICS
Zejun Hu, Xiaoge Lu
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引用次数: 0

摘要

在本文中,我们研究了两个凯勒曲面({\mathbb {S}}^2\times {\mathbb {S}}^2\) 和({\mathbb {H}}^2\times {\mathbb {H}}^2.\)的实超曲面。作为主要结果之一,我们对所有这样的超曲面进行了分类,它们的法雅各比算子相对于列维-奇维塔连接或k广义田中-韦伯斯特连接都是平行的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On Real Hypersurfaces in $${\mathbb {S}}^2\times {\mathbb {S}}^2$$ and $${\mathbb {H}}^2\times {\mathbb {H}}^2$$ with Parallel Normal Jacobi Operator

In this paper, we study real hypersurfaces of the two Kähler surfaces \({\mathbb {S}}^2\times {\mathbb {S}}^2\) and \({\mathbb {H}}^2\times {\mathbb {H}}^2.\) 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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来源期刊
CiteScore
1.80
自引率
0.00%
发文量
261
审稿时长
6-12 weeks
期刊介绍: The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.
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