Fiber bundles of manifolds of negative curvature with almost nilpotent fundamental groups (Q2455248)

The author describes the structure of locally homogeneous (in particular, locally symmetric) complete Riemannian manifolds with almost nilpotent fundamental group \(\Gamma\). In particular, he proves that \(\Gamma\) is finitely represented. In the case, when \(M = \tilde M/\Gamma\) is a locally symmetric manifold and \(\Gamma\) preserves no geodesic of the universal cover \(\tilde M\), the result is the following: Some finite cover of \(M\) is a product of the Euclidean space and a closed nilmanifold which is either a torus or a torus bundle over a torus.