Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Convex Analysis 12 (2005), No. 1, 187--196
Copyright Heldermann Verlag 2005



Geodetically Convex Sets in the Heisenberg Group

Roberto Monti
Mathematisches Institut, Universitšt Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
Permanent Address: Universitŗ di Padova, Dipartimento di Matematica Pura e Applicata, Via Belzoni 7, 35131 Padova, Italy
monti@math.unipd.it

Matthieu Rickly
Mathematisches Institut, Universitšt Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
matthieu.rickly@math-stat.unibe.ch



We prove that the geodetic envelope of a subset of the Heisenberg group containing three points not lying on the same geodesic is the whole group. As a corollary, we obtain that a function on the group which is convex along geodesics must be constant.

[ Fulltext-pdf  (316  KB)] for subscribers only.