Subgroups of Genus-2 Quasi-Fuchsian groups and Cocompact Kleinian Groups
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908285221732352 |
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| author | Rao, Zhenghao |
| author_facet | Rao, Zhenghao |
| contents | In this paper, we want to control the geometry of some surface subgroups of a cocompact Kleinian group. More precisely, provided any genus-2 quasi-Fuchsian group $Γ$ and cocompact Kleinian group $G$, then for any $K>1$, we will find a surface subgroup $H$ of $G$ that is $K$-quasiconformally conjugate to a finite index subgroup $F<Γ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_01995 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Subgroups of Genus-2 Quasi-Fuchsian groups and Cocompact Kleinian Groups Rao, Zhenghao Geometric Topology Dynamical Systems In this paper, we want to control the geometry of some surface subgroups of a cocompact Kleinian group. More precisely, provided any genus-2 quasi-Fuchsian group $Γ$ and cocompact Kleinian group $G$, then for any $K>1$, we will find a surface subgroup $H$ of $G$ that is $K$-quasiconformally conjugate to a finite index subgroup $F<Γ$. |
| title | Subgroups of Genus-2 Quasi-Fuchsian groups and Cocompact Kleinian Groups |
| topic | Geometric Topology Dynamical Systems |
| url | https://arxiv.org/abs/2302.01995 |