Year: 2025
Type: preprint
Abstract: We prove the existence of surface subgroups within any cocompact lattice $Γ$ in $\mathrm{SO}(2n,1)$ for $n\geq2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank-one semisimple Lie groups of non-compact type.
Source: arXiv (Cornell University)
DOI: 10.1112/topo.70089
Authors: Kahn, Jeremy, Rao, Zhenghao
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979280998
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