Geometry at Infinity

For every number field and every Cartan Killing type, there is an associated split simple algebraic group. We examine whether the corresponding…

Using variational methods together with symmetries given by singular Riemannian foliations with positive dimensional leaves, we prove the existence of…

Extending earlier work of Tian, we show that if a manifold admits a metric that is almost hyperbolic in a suitable sense, then there exists an…

We describe the Gromov-Hausdorff closure of the class of length spaces being homeomorphic to a fixed closed surface.

If a group Γ acts geometrically on a CAT(0) space X without 3-flats, then either X contains a Γ-periodic geodesic which does not bound a flat…