Calculus of Variations and Geometric Measure Theory
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V. Magnani

Some remarks on densities in the Heisenberg group

created by magnani on 15 Sep 2015
modified on 08 Nov 2018


Published Paper

Inserted: 15 sep 2015
Last Updated: 8 nov 2018

Journal: Ann. Acad. Sci. Fenn. Math.
Volume: 42
Number: 1
Pages: 357–365
Year: 2017


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


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