非平面复数空间形式中霍普夫超曲面的新特征

IF 0.6 3区数学 Q3 MATHEMATICS

Periodica Mathematica Hungarica Pub Date : 2024-07-05 DOI:10.1007/s10998-024-00604-2

Wenjie Wang

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引用次数: 0

摘要

研究证明，如果且只有当超曲面是霍普夫（Hopf）超曲面时，非平面复空间形式的实超曲面的（*\）-里奇算子才是里布平行算子。作为这一结果的应用，我们得到了具有平行（*\）-Ricci 算子的实超曲面的分类定理。这些结果回答了凯马卡米斯（Kaimakamis）和帕纳吉奥蒂杜（Panagiotidou）十年前提出的一些悬而未决的问题。

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New characterization of Hopf hypersurfaces in nonflat complex space forms

It is proved that the \(*\)-Ricci operator of a real hypersurface in a nonflat complex space form is Reeb parallel if and only if the hypersurface is Hopf. As an application of this result, we obtain a classification theorem of real hypersurfaces with parallel \(*\)-Ricci operators. These results answer some open questions posed by Kaimakamis and Panagiotidou a decade ago.

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来源期刊

Periodica Mathematica Hungarica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Periodica Mathematica Hungarica is devoted to publishing research articles in all areas of pure and applied mathematics as well as theoretical computer science. To be published in the Periodica, a paper must be correct, new, and significant. Very strong submissions (upon the consent of the author) will be redirected to Acta Mathematica Hungarica. Periodica Mathematica Hungarica is the journal of the Hungarian Mathematical Society (János Bolyai Mathematical Society). The main profile of the journal is in pure mathematics, being open to applied mathematical papers with significant mathematical content.