上秩的凸-共紧群

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-02-13 DOI:10.24033/ast.1082

Olivier Guichard

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引用次数: 1

摘要

凸紧子群在双曲几何中是中心的，在负曲率中更为普遍。Labourie在2005年引入了“Anosov”子群的概念，特别是在Kapovich, Leeb和Porti的作品之后，这个概念逐渐被证明是凸紧群的正确推广。这篇文章将回顾这些群的不同特征，强调负曲率的平行(或差异)，并给出它们的基本性质。

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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Groupes convexes-cocompacts en rang supérieur

The convex-cocompact subgroups are central in hyperbolic geometry and more generally in negative curvature. Labourie introduced in 2005 the notion of 'Anosov' subgroup which proves progressively to be the right generalizations of convex-cocompact groups, especially after the works of Kapovich, Leeb and Porti. This expose will review different caracteriations of those groups, emphasizing the parallel (or difference) with the negative curvature, and will give their basic properties.

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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.