Research project: Topological superrigidity - Dormant
Following our earlier work on Bass-Serre splittings for Poincaré duality groups, we discovered a new topological splitting theorem for high dimensional manifolds in the spirit of the classical torus theorem. In the following statement a (T)-manifold is any closed manifold such that the universal cover is an irreducible globally symmetric Riemannian manifold of non-compact type, and which is one of the following: of real rank at least 2; quaternionic hyperbolic space; the Cayley hyperbolic plane.