紧密三球面上里布流的 3-2-1 叶形

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-17 DOI:10.1090/tran/9119

Carolina de Oliveira

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引用次数: 0

摘要

我们研究了紧 3 3 -球面上适应里布流的 3 - 2 - 1 3-2-1 叶形的存在。这些叶形恰好包含三个结合轨道，它们的康利-泽恩德指数分别为 3 3、2 2 和 1 1。所有规则叶片都是渐近于结合轨道的圆盘和环面。我们的主要结果为具有规定结合轨道的 3 - 2 - 1 3-2-1 叶形的存在提供了充分条件。我们还展示了 R 4 \mathbb {R}^4 上的一个具体哈密顿，当限制在合适的能级时，它允许 3 - 2 - 1 3-2-1 对折。

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3-2-1 foliations for Reeb flows on the tight 3-sphere

We study the existence of 3 − 2 − 1 3-2-1 foliations adapted to Reeb flows on the tight 3 3 -sphere. These foliations admit precisely three binding orbits whose Conley-Zehnder indices are 3 3 , 2 2 , and 1 1 , respectively. All regular leaves are disks and annuli asymptotic to the binding orbits. Our main results provide sufficient conditions for the existence of 3 − 2 − 1 3-2-1 foliations with prescribed binding orbits. We also exhibit a concrete Hamiltonian on R 4 \mathbb {R}^4 admitting 3 − 2 − 1 3-2-1 foliations when restricted to suitable energy levels.

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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.