A Beckmann Quarles Type Theorem for Plane Lorentz Transformations.
A Cone of Inhomogeneous Second-Order Polynomials.
A geometric theory of harmonic and semi-conformal maps
We describe for any Riemannian manifold M a certain scheme M L, lying in between the first and second neighbourhood of the diagonal of M. Semi-conformal maps between Riemannian manifolds are then analyzed as those maps that preserve M L; harmonic maps are analyzed as those that preserve the (Levi-Civita-) mirror image formation inside M L.
A local metric characterization of Banach spaces
A non-uniqueness theorem in the theory of Voronoi sets.
A synthetic approach to the taxicab circles.
A taxicab version of the Erdős-Mordell theorem
Actions of discrete groups on nonpositively curved spaces.
Algèbres de Lie et groupes microlinéaires
Ambiguous loci of the farthest distance mapping from compact convex sets
Let be a strictly convex separable Banach space of dimension at least 2. Let K() be the space of all nonempty compact convex subsets of endowed with the Hausdorff distance. Denote by the set of all X ∈ K() such that the farthest distance mapping is multivalued on a dense subset of . It is proved that is a residual dense subset of K().
An O(n log n) Algorithm for the All-Nearest-Neighbors Problem.
Analyse dans les topos lisses
Approximating Euclidean Distances by Small Degree Graphs*
Averaging at any level.