Gaps in the exponent spectrum of subgroups of discrete quasiconformal groups

Kodai Mathematical Journal

Edward C. Taylor²  Petra Bonfert-Taylor²  Kurt Falk¹ 

[1] National University of Ireland at Maynooth;Wesleyan University

关键词: CR-submanifold;    Almost Hermitian manifold;    Kaehler manifold;    Distribution;    Horizontally conformal submersion;    Harmonic map;   

DOI  :  10.2996/kmj/1206454552

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(23)Let G be a discrete quasiconformal group preserving B3 whose limit set Λ(G) is purely conical and all of ∂B3. Let Ĝ be a non-elementary normal subgroup of G: we show that there exists a set $¥mathcal{A}$ of full measure in Λ(G) so that $¥mathcal{A}$, regarded as a subset of Λ (Ĝ), has "fat horospherical" dynamics relative to Ĝ. As an application we will bound from below the exponent of convergence of Ĝ in terms of the Hausdorff dimension of $¥mathcal{A}$.

【 授权许可】

Unknown