Kneser-Poulsen conjecture for a small number of intersections

Details Kneser-Poulsen conjecture for a small number of intersections Kneser-Poulsen conjecture for a small number of intersections

2010-06-03

arxiv.org/abs/1006.0529v1

Mathematics

Metric Geometry

5 pages, 0 figures

Scientific paper

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 get smaller, then the volume of the union of these balls also does not get smaller. In this paper we prove that if in the beginning configuration the intersection of any two balls has common points with no more than d+1 other balls, then the conjecture holds.

Affiliated with

Also associated with

No associations

Rating

Kneser-Poulsen conjecture for a small number of intersections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kneser-Poulsen conjecture for a small number of intersections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kneser-Poulsen conjecture for a small number of intersections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-513079