Arithmeticity of hyperbolic 3-manifolds containing infinitely many totally geodesic surfaces

Abstract

We prove that if a closed hyperbolic 3-manifold M contains infinitely many totally geodesic surfaces, then M is arithmetic.

arXiv commentThis is a more detailed version of arXiv:1902.07267v1

References in corpus (1)

• Finiteness of Maximal Geodesic Submanifolds in Hyperbolic Hybrids

Cited by in corpus (1)

• Dynamics for discrete subgroups of ${\mathrm{SL}}_2(\mathbb{C})$