Title	The central set and its application to the Kneser-Poulsen conjecture
Creator	Gorbovickis, Igors
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-22T11:14
Description	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.
Extent	33 minutes
Subject	Mathematics; Convex and discrete geometry; Geometry; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Uppsala University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-11-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357997
URI	http://hdl.handle.net/2429/63641
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos