The isodiametric problem in groups with dilations
Oleksandr Metelichenko ((University College London)
10 nov 2004
Abstract.
The next talk of our research seminar will be given by Oleksandr Metelichenko (University College London)
when: Mercoledì 10 novembre, ore 18.00 Wednesday, November 10, at 6 pm
where: Sala Riunioni, Dipartimento di Matematica
title: The isodiametric problem in groups with dilations
abstract: We show that the isodiametric inequality fails for Carnot-Carathéodory balls in the Heisenberg group and give estimates for the ratio of the volume of the ball and the maximal volume of a set of the same diameter. We also give some examples of the similar nature in the additive group $\R^n$ with non-isotropic dilations.