Inserted: 10 sep 2014
Last Updated: 12 jun 2017
Journal: Indiana Univ. Math. J.
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: Carnot group, perimeter measure, stratified group, spherical Hausdorff measure