Kleinian群的自连接刚性：测度理论准则

IF 1.1 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2025-09-02 DOI:10.1112/topo.70035

Dongryul M. Kim, Hee Oh

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引用次数: 0

摘要

设n m小于2 $n, m\geqslant 2$。设Γ ＆lt； SO°(n + 1，1) $\Gamma <\text{SO}^\circ (n+1,1)$是Zariski密集凸紧子群，Λ∧S n $\Lambda \subset \mathbb {S}^n$是它的极限集。令ρ：Γ→SO°（m + 1,1） $\rho: \Gamma \rightarrow \text{SO}^\circ (m+1,1)$是Zariski密集凸紧忠实表示，f：Λ→S m $f:\Lambda \rightarrow \mathbb {S}^{m}$ ρ $\rho$ -边界图。让

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Rigidity of Kleinian groups via self-joinings: measure theoretic criterion

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Rigidity of Kleinian groups via self-joinings: measure theoretic criterion

Let $n, m ⩾ 2$ . Let $Γ < {SO}^{\circ} (n + 1, 1)$ be a Zariski dense convex cocompact subgroup and $Λ \subset S^{n}$ be its limit set. Let $ρ : Γ \to {SO}^{\circ} (m + 1, 1)$ be a Zariski dense convex cocompact faithful representation and $f : Λ \to S^{m}$ the $ρ$ -boundary map. Let

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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.