Asymptotics of Convex sets in En and Hn

Details Asymptotics of Convex sets in En and Hn Asymptotics of Convex sets in En and Hn

2007-12-29

arxiv.org/abs/0801.0077v1

Mathematics

Geometric Topology

19 pages, submitted for publication in September 2007

Scientific paper

We study convex sets C of finite (but non-zero volume in Hn and En. We show that the intersection of any such set with the ideal boundary of Hn has Minkowski (and thus Hausdorff) dimension of at most (n-1)/2, and this bound is sharp. In the hyperbolic case we show that for any k <= (n-1)/2 there is a bounded section S of C through any prescribed point p, and we show an upper bound on the radius of the ball centered at p containing such a section. We show similar bounds for sections through the origin of convex body in En, and give asymptotic estimates as 1 << k << n.

Affiliated with

Also associated with

No associations

Rating

Asymptotics of Convex sets in En and Hn 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 Asymptotics of Convex sets in En and Hn, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics of Convex sets in En and Hn will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-260022