Some remarks on densities in the Heisenberg group

2015/09/14 by Magnani, Valentino
#22E30 #FOS: Mathematics #Metric Geometry (math.MG) #Primary 28A75: Secondary 53C17

paper · doi:10.48550/arxiv.1509.04174

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.

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