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math.MG2015
The central set and its application to the Kneser-Poulsen conjecture
Igors Gorbovickis
The Kneser-Poulsen conjecture says that if a finite collection of balls in a Euclidean (spherical or hyperbolic) space is rearranged so that the distance between each pair of cente…
math.MG2010
Strict Kneser-Poulsen conjecture for large radii
Igors Gorbovickis
In this paper we prove the Kneser-Poulsen conjecture for the case of large radii. Namely, if a finite number of points in Euclidean space is rearranged so that the distance b…
math.MG2010★ 1 cited
Kneser-Poulsen conjecture for a small number of intersections
Igors Gorbovickis
The Kneser-Poulsen conjecture says that if a finite collection of balls in a d-dimensional Euclidean space is rearranged so that the distance between each pair of centers does not…