BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

The central set and its application to the Kneser-Poulsen conjecture Gorbovickis, Igors


The Kneser-Poulsen conjecture says that if a finite set of (not necessarily congruent) balls in an n-dimensional Euclidean space is rearranged so that the distance between each pair of centers does not increase, then the volume of the union of the balls does not increase as well. We give new results about central sets of subsets of a Riemannian manifold and apply these results to prove new special cases of the Kneser-Poulsen conjecture in the two-dimensional sphere and the hyperbolic plane.

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