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.
Banach spaces in an analytic model of synthetic differential geometry
Barbilian's metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics
In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian's metrization procedure can be relaxed. Then, we prove that Barbilian's metrization procedure in the plane generates either Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics.
Bi-Lipschitz embeddings into low-dimensional Euclidean spaces
Block distance matrices.
Calcul du rayon de la sphère inscrite dans le tétraèdre
Catégories localement triviales. Catégories microtransitives