$$\mathbb{R}^4$$中泛浸3-manifolds的抛物线子集几何学

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-18 DOI:10.1007/s40687-024-00450-1

A. C. Nabarro, M. C. Romero Fuster, M. C. Zanardo

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引用次数: 0

摘要

一般浸没在 $\mathbb {R}^4$ 中的 3-manifold的抛物面子集是一个曲面。在本研究中，我们分析了作为 $\mathbb {R}^4$ 子曲面的这种曲面的一般几何行为。为了描述不同奇点类型的几何特征，我们应用了基于高度函数族分析的典型奇点理论技术。

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Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$

The parabolic subset of a 3-manifold generically immersed in $\mathbb {R}^4$ is a surface. We analyze in this study the generic geometrical behavior of such surface, considered as a submanifold of $\mathbb {R}^4$. Typical Singularity Theory techniques based on the analysis of the family of height functions are applied in order to describe the geometrical characterizations of different singularity types.

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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.