Metrics and tolerances
Metrische Räume mit einer Elementarlänge.
Notes per a un estudi de la geometría sobre grups involutius.
O jednom zovšeobecnení Menelaovej a Cevovej vety
On a generalized Minkowski inequality and its relation to dominates for t-norms.
On Inscribed Circumscribed Conics.
On the conformal gauge of a compact metric space
In this article we study the Ahlfors regular conformal gauge of a compact metric space , and its conformal dimension . Using a sequence of finite coverings of , we construct distances in its Ahlfors regular conformal gauge of controlled Hausdorff dimension. We obtain in this way a combinatorial description, up to bi-Lipschitz homeomorphisms, of all the metrics in the gauge. We show how to compute using the critical exponent associated to the combinatorial modulus.
On the Regularity of Alexandrov Surfaces with Curvature Bounded Below
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance derives from a Riemannian metric whose components, for any p ∈ [1, 2), locally belong to W1,p out of a discrete singular set. This result is based on Reshetnyak’s work on the more general class of surfaces with bounded integral curvature.
On the relation between ordered sets and Lorentz--Minkowski distances in real inner product spaces.
Paare und Tripel halbkonzentrischer Kreise der euklidischen Ebene.
Planes with analogues to Euclidean angular bisectors.
Polygonal chain sequences in the space of compact sets.
Proximinality in geodesic spaces.
Ramsey partitions and proximity data structures
This paper addresses two problems lying at the intersection of geometric analysis and theoretical computer science: The non-linear isomorphic Dvoretzky theorem and the design of good approximate distance oracles for large distortion.We introduce the notion of Ramsey partitions of a finite metric space, and show that the existence of good Ramsey partitions implies a solution to the metric Ramsey problem for large distortion (also known as the non-linear version of the isomorphic Dvoretzky theorem,...
Relationen zwischen symplektischen Transvektionen.
Remark on "Planes with analogues to Eucledian angular bisectors".
Rotation du sous-espace invariant d’un endomorphisme symétrique de par une perturbation symétrique
Sobre la geometría de la diferencia simétrica.
Some characterization theorems for the discrete holometric space.
Some properties of the discrete holometric space