中规范球的一个特征ℍ n通过水平曲率

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-31 DOI:10.1515/acv-2022-0058

Chiara Guidi, Vittorio Martino, G. Tralli

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引用次数: 2

摘要

摘要在本文中，我们旨在识别Heisenberg群中规范范数的水平集ℍ n｛\mathbb｛H｝^｛n｝｝｝｝通过它们的（非常数）水平平均曲率的规定。我们在ℍ 1｛\mathbb｛H｝^｛1｝｝在关于奇异集位置的假设下ℍ n｛\mathbb｛H｝^｛n｝｝对于n≥2｛n\geq2｝在适当的水平脐超曲面类中。

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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A characterization of gauge balls in ℍ n by horizontal curvature

Abstract In this paper, we aim at identifying the level sets of the gauge norm in the Heisenberg group ℍ n {{\mathbb{H}^{n}}} via the prescription of their (non-constant) horizontal mean curvature. We establish a uniqueness result in ℍ 1 {\mathbb{H}^{1}} under an assumption on the location of the singular set, and in ℍ n {\mathbb{H}^{n}} for n ≥ 2 {n\geq 2} in the proper class of horizontally umbilical hypersurfaces.

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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.