Subhyperbolic rational maps on boundaries of hyperbolic components
Subhyperbolic rational maps on boundaries of hyperbolic components
复制标题
双曲分量边界上的亚双曲有理图
DOI：
10.3934/dcds.2021118
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Jinsong Zeng
中科院分区：
文献类型：
--
作者：
Yan Gao;Luxian Yang;Jinsong Zeng
本文证明了次双曲有理映射在双曲分支边界上的每个拟共形变形仍然位于Begin{Document}$Partial Mathcal{H}$End{Document}上。作为应用，我们构造了在某些双曲分支的边界上埋有临界点的几何有限有理映射。
In this paper, we prove that every quasiconformal deformation of a subhyperbolic rational map on the boundary of a hyperbolic component begin{document}$ mathcal{H} $end{document} still lies on begin{document}$ partial mathcal{H} $end{document}. As an application, we construct geometrically finite rational maps with buried critical points on the boundaries of some hyperbolic components.