Quasi-isometric rigidity of three manifold groups

Peter Haïssinsky (1) , Cyril Lecuire (2)

1 I2M - Institut de Mathématiques de Marseille
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We provide a proof that the classes of finitely generated Kleinian groups and of three-manifold groups are quasi-isometrically rigid.

Mots clés: (relatively) hyperbolic groups; Kleinian groups; 3-manifolds; Quasi-isometric rigidity; canonical and characteristic splittings

Domaines: Topologie géométrique [math.GT]

Peter Haïssinsky, Cyril Lecuire. Quasi-isometric rigidity of three manifold groups. 2020. ⟨hal-02569373v2⟩