Some remarks on densities in the Heisenberg group
Metric Geometry
2015-09-15 v1
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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Cite
@article{arxiv.1509.04174,
title = {Some remarks on densities in the Heisenberg group},
author = {Valentino Magnani},
journal= {arXiv preprint arXiv:1509.04174},
year = {2015}
}
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9 pages