Singularities of caustics of surfaces in non-flat Riemannian 4-space form $$^\dag $$

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-16 DOI:10.1007/s40687-024-00437-y

Liang Chen, Ying Jiang, Haibo Yu

引用次数: 0

Abstract

We propose a way to study the caustics of surfaces in non-flat Riemannian 4-space form from the viewpoint of singularity theory in this paper. As an application of the theory of Lagrangian singularity, we study the contact of surfaces with the families of hyperspheres, which is measured by the singularities of functions defined on the surfaces.

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非平坦黎曼 4 空间形式 $$^\dag $$ 中曲面的苛求奇点

本文提出了一种从奇点理论的角度研究非平面黎曼 4 空间形式的曲面凹凸的方法。作为拉格朗日奇异性理论的应用，我们研究了曲面与超球族的接触，这种接触是通过曲面上定义的函数的奇异性来测量的。

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.