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Abstract
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
Author information
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RM
Roberto Monti
Mathematisches Institut, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland Permanent Address: Università di Padova, Dipartimento di Matematica Pura e Applicata, Via Belzoni 7, 35131 Padova, Italy