The Order of Helical Minimal Imbeddings of Strongly Harmonic Manifolds.
The Poisson formula for groups with hyperbolic properties.
The set of poles of a two-sheeted hyperboloid.
The structure of the cut locus in dimension less than or equal to six
The systolic constant of orientable Bieberbach 3-manifolds
A compact manifold is called Bieberbach if it carries a flat Riemannian metric. Bieberbach manifolds are aspherical, therefore the supremum of their systolic ratio, over the set of Riemannian metrics, is finite by a fundamental result of M. Gromov. We study the optimal systolic ratio of compact -dimensional orientable Bieberbach manifolds which are not tori, and prove that it cannot be realized by a flat metric. We also highlight a metric that we construct on one type of such manifolds () which...
The volume of geodesic disks in a Riemannian manifold
The weak Blaschke conjecture for CPn.
Three-dimensional hyperbolic geometry as ...-adic Arakelov geometry.
Total Absolute Curvature of Submanifolds in Compact Symmetric Spaces of Rank One.
Total curvature and the topology of complete surfaces
Total mean curvature and closed geodesics.
Two special simply connected spaces of nonpositive curvature.
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...
-projective symmetries of fibered manifolds
We prove that the set of the -projective symmetries is a Lie algebra.
Variational equations along integral curves of a projectable system of vector fields