Superrigidity in infinite dimension and finite rank via harmonic maps

Bruno Duchesne (1)

1 IECL - Institut Élie Cartan de Lorraine

We prove geometric superrigidity for actions of cocompact lattices in semisimple Lie groups of higher rank on infinite dimensional Riemannian manifolds of nonpositive curvature and finite telescopic dimension.

Domaines: Géométrie différentielle [math.DG]; Géométrie métrique [math.MG]; Théorie des groupes [math.GR]

Bruno Duchesne. Superrigidity in infinite dimension and finite rank via harmonic maps. Groups, Geometry, and Dynamics, 2015, 9 (1), pp.133-148. ⟨hal-00706235⟩