Über die Approximation von lokal konvexen Mengen.
Un résultat de rigidité pour les métriques de Hilbert
Une paramétrisation de l’espace de Teichmüller de genre donnée par géodésiques explicites
Uniform Finsler Hadamard manifolds
Uniqueness of the stereographic embedding
The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.
Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem
In this paper we present two upper bounds on the length of a shortest closed geodesic on compact Riemannian manifolds. The first upper bound depends on an upper bound on sectional curvature and an upper bound on the volume of the manifold. The second upper bound will be given in terms of a lower bound on sectional curvature, an upper bound on the diameter and a lower bound on the volume. The related questions that will also be studied are the following: given a contractible -dimensional sphere...