Free vs. locally free Kleinian groups
Free vs. locally free Kleinian groups
复制标题
自由与本地自由 Kleinian 群体
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
J. Souto
中科院分区：
文献类型：
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作者：
Pekka Pankka;J. Souto
<jats:p>证明了极限集为Hausdorff维数Cantor集的Kleinian群<jats:inline-formula id="j_crelle-2016-0005_ineq_9999">
<jats:p>We prove that Kleinian groups whose limit sets are Cantor sets of Hausdorff dimension <jats:inline-formula id="j_crelle-2016-0005_ineq_9999">
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</jats:inline-formula> 1 are free. On the other hand we construct for any ε <jats:inline-formula id="j_crelle-2016-0005_ineq_9998">
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an example of a non-free purely hyperbolic Kleinian group whose limit set is a Cantor set of Hausdorff dimension <jats:inline-formula id="j_crelle-2016-0005_ineq_9997">
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</jats:inline-formula> 1 <jats:inline-formula id="j_crelle-2016-0005_ineq_9996">
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<jats:tex-math>+</jats:tex-math>
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</jats:inline-formula> ε.</jats:p>