Convex hulls in the hyperbolic space

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the convex hull of any N points in the hyperbolic space ℍ n is of volume smaller than 2(2√π) n/Γ(n/2)N and that for any dimension n there exists a constant C n > 0 such that for any set A ⊂ ℍ nwhere A 1 is the set of points of hyperbolic distance to A smaller than 1.

Original languageEnglish
Pages (from-to)365-371
Number of pages7
JournalGeometriae Dedicata
Volume160
Issue number1
DOIs
StatePublished - Oct 2012

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Fingerprint

Dive into the research topics of 'Convex hulls in the hyperbolic space'. Together they form a unique fingerprint.

Cite this