Nearly Fuchsian surface subgroups of finite covolume Kleinian groups
نویسندگان
چکیده
Let Gamma < PSL_2(C) be discrete, cofinite volume, and noncocompact. We prove that for all K > 1, there is a subgroup H K-quasiconformally conjugate to discrete cocompact of PSL_2(R). Along with previous work Kahn Markovic, this proves every finite covolume Kleinian group has nearly Fuchsian surface subgroup.
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2021
ISSN: ['1547-7398', '0012-7094']
DOI: https://doi.org/10.1215/00127094-2020-0049