$Nil^{4}$极小超曲面上Codazzi的分类和注释

IF 0.4 Q4 MATHEMATICS

International Electronic Journal of Geometry Pub Date : 2023-10-29 DOI:10.36890/iejg.1256112

Noura DJELLALI, Abdelbasset HASNİ, Ahmed MOHAMMED CHERİF, Mohamed BELKHELFA

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引用次数: 0

摘要

本文给出了李群$(Nil^{4}，\ widdetilde g)$中Codazzi超曲面的一个分类。我们还给出了$(Nil^{4}，\ widdetilde g)$中一类极小超曲面的刻画，并给出了该类极小曲面的一个例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Classification of Codazzi and note on minimal hypersurfaces in $Nil^{4}$

In this paper, we give a classification of Codazzi hypersurfaces in a Lie group $(Nil^{4},\widetilde g)$. We also give a characterization of a class of minimal hypersurfaces in $(Nil^{4},\widetilde g)$ with an example of a minimal surface in this class.

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来源期刊

International Electronic Journal of Geometry MATHEMATICS-

CiteScore

0.80

自引率

14.30%

发文量