[CvGmt News] Seminario di Valentino Magnani
alberti at mail.dm.unipi.it
alberti at mail.dm.unipi.it
Thu May 13 13:54:53 CEST 2004
Seminari di Calcolo delle Variazioni
when: Giovedi' 27 maggio, ore 16 / Thursday, May 27, 4 pm
where: Centro De Giorgi
who: Valentino Magnani (Universita' di Pisa)
title: An intrinsic notion of mass in the Heisenberg group
abstract: In this talk we present a class of differential forms that
allows us to give a new notion of mass for currents in the Heisenberg
group. We show that the sub-Riemannian perimeter of a set can be
thought of as the intrinsic mass of its boundary. In the case of
regular k-dimensional surfaces, we show that their intrinsic mass
corresponds to the (k+1)-dimensional spherical Hausdorff measure with
respect to the Carnot-Caratheodory distance. These facts confirm how
this notion of mass fits the natural sub-Riemannian geometry of the
Heisenberg group.
posted by Giovanni Alberti
Reference: http://www.dm.unipi.it/~alberti/altrepagine/SeminarioCVGMT/index.html
You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20040527/
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