A new differentiation, shape of the unit ball and perimeter measure
Differential Geometry
2015-09-15 v3 Functional Analysis
Metric Geometry
Abstract
We present a new blow-up method that allows for establishing the first general formula to compute the perimeter measure with respect to the spherical Hausdorff measure in noncommutative nilpotent groups. This result leads us to an unexpected relationship between the area formula with respect to a distance and the profile of its corresponding unit ball.
Keywords
Cite
@article{arxiv.1408.4726,
title = {A new differentiation, shape of the unit ball and perimeter measure},
author = {Valentino Magnani},
journal= {arXiv preprint arXiv:1408.4726},
year = {2015}
}
Comments
17 pages