On minimal surfaces in ℍ2 × ℝ space

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-08-02 DOI:10.1515/gmj-2024-2038

Bendehiba Senoussi

引用次数: 0

Abstract

A surface is minimal if the mean curvature ℋ mean

{\mathcal{H}_{\rm mean}}

vanishes everywhere. In this paper, we study some surfaces in the product space ℍ 2 × ℝ

{\mathbb{H}^{2}\times\mathbb{R}}

. In particular, we completely classify minimal surfaces.

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在ℍ2 × ℝ空间的最小曲面上

如果平均曲率ℋ mean {mathcal{H}_{\rm mean}} 在任何地方都消失，那么这个曲面就是最小曲面。本文将研究乘积空间 ℍ 2 × ℝ {\mathbb{H}^{2}\times\mathbb{R}} 中的一些曲面。 .特别是，我们对最小曲面进行了完全分类。

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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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.