[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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