2014/08/20 by Valentino Magnani, Magnani, Valentino · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #math.DG #math.FA #math.MG
paper · pdf · doi:10.48550/arxiv.1408.4726
17 pages
arxiv created 2015/09/12 · arxiv updated 2015/09/15
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.