Convex Hulls in the Hyperbolic Space

Details Convex Hulls in the Hyperbolic Space Convex Hulls in the Hyperbolic Space

2011-05-30

arxiv.org/abs/1105.6017v2

Mathematics

Metric Geometry

7 pages

Scientific paper

We show that there exists a universal constant C>0 such that the convex hull of any N points in the hyperbolic space H^n is of volume smaller than C N, and that for any dimension n there exists a constant C_n > 0 such that for any subset A of H^n, Vol(Conv(A_1)) < C_n Vol(A_1) where A_1 is the set of points of hyperbolic distance to A smaller than 1.

Affiliated with

Also associated with

No associations

Rating

Convex Hulls in the Hyperbolic Space 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 Convex Hulls in the Hyperbolic Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convex Hulls in the Hyperbolic Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-678578