阿诺索夫表征极限集的规律性

IF 0.8 2区数学 Q2 MATHEMATICS Journal of Topology Pub Date : 2024-08-03 DOI:10.1112/topo.12355

Tengren Zhang, Andrew Zimmer

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引用次数: 0

摘要

在本文中，我们建立了对于某个 α ∈ ( 1 , 2 ) $alpha \ in (1,2)$ 的投影阿诺索夫表示的极限集是实投影空间的 C α $C^{\alpha }$ 子满面的必要条件和充分条件。我们还根据阿诺索夫表示的特征值数据计算了 α $\alpha$ 的最优值。

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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Regularity of limit sets of Anosov representations

In this paper, we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a $C^{α}$ -submanifold of the real projective space for some $α \in (1, 2)$ . We also calculate the optimal value of $α$ in terms of the eigenvalue data of the Anosov representation.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.