[CvGmt News] CVGMT seminar/30 March/17:30
Valentino Magnani
magnani at dm.unipi.it
Sat Mar 25 17:37:08 CET 2006
Dear All,
the next CVGMT seminar will be held by
. Séverine Rigot, from Département de Mathématiques d'Orsay,
Université Paris-Sud
. on Thursday, 30 March
. in ``Sala dei Seminari'' of the Mathematics Department
. at 17:30, with
TITLE: Remarks about minimal curves in Carnot groups
ABSTRACT: It is well-known that Riemannian and sub-Riemannian geometry can
be extremely different. This can be for instance reflected through
differentiability, or non differentiability, properties of the distance
function and qualitative behaviour of minimal curves. We will try to
illustrate this phenomenon. We will show how classical geometrical
properties of Euclidean spaces, namely the Besicovitch covering property
and the isodiametric inequality, can fail to hold in Carnot groups,
counter-examples being based on specific features of the distance
function and minimal curves.
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