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Incompressible Surfaces in Rank One Locally Symmetric Spaces

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Abstract

We show that cocompact lattices in rank one simple Lie groups of non-compact type distinct from SO(2m, 1)(m ≥ 1) contain surface subgroups.

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  1. Mathematisches Institut Der Universität Bonn, Endenicher Allee 60, 53115, Bonn, Germany

    Ursula Hamenstädt

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  1. Ursula Hamenstädt
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Correspondence to Ursula Hamenstädt.

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Partially supported by ERC Grant 10160104.

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Hamenstädt, U. Incompressible Surfaces in Rank One Locally Symmetric Spaces. Geom. Funct. Anal. 25, 815–859 (2015). https://doi.org/10.1007/s00039-015-0330-y

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