A Property that Characterizes the Enneper Surface and Helix Surfaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-11 DOI:10.1007/s00009-024-02697-y

Pascual Lucas, José Antonio Ortega-Yagües

引用次数: 0

Abstract

The main goal of this paper is to show that helix surfaces and the Enneper surface are the only surfaces in the 3-dimensional Euclidean space \(\mathbb {R}^{3}\) whose isogonal lines are generalized helices and pseudo-geodesic lines.

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恩尼佩尔表面和螺旋面的一个特性

本文的主要目的是证明螺旋面和恩尼佩尔面是三维欧几里得空间 \(\mathbb {R}^{3}\) 中唯一等值线是广义螺旋线和伪大地线的曲面。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.