Incompressible surfaces in rank one locally symmetric spaces

Abstract

We show that cocompact lattices in rank one simple Lie groups of non-compact type distinct from SO(2m,1) (m>0) contain surface subgroups.

Small corrections, writing improved, 38 pages, 4 figures

References in corpus (3)

• Homology of curves and surfaces in closed hyperbolic 3-manifolds
• Finite-volume Hyperbolic 3-Manifolds contain immersed Quasi-Fuchsian surfaces
• The good pants homology and the Ehrenpreis conjecture

Cited by in corpus (2)

• Totally Geodesic Spectra of Quaternionic Hyperbolic Orbifolds
• Surface subgroups for lattices in Fuchsian buildings