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

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Submitted Paper

Inserted: 15 sep 2015
Last Updated: 15 sep 2015

Year: 2015

Abstract:

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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