Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

V. Magnani

Some remarks on densities in the Heisenberg group

created by magnani on 15 Sep 2015


Submitted Paper

Inserted: 15 sep 2015
Last Updated: 15 sep 2015

Year: 2015


We observe that upper densities and spherical Federer densities may differ on all two dimensional surfaces of the sub-Riemannian Heisenberg group. This provides an entire class of intrinsic rectifiable sets having upper density strictly less than one.

Keywords: Hausdorff measure, Heisenberg group, spherical measure, density, rectifiability


Credits | Cookie policy | HTML 5 | CSS 2.1