Calculus of Variations and Geometric Measure Theory
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V. Magnani

A new differentiation, shape of the unit ball and perimeter measure

created by magnani on 10 Sep 2014
modified on 07 Mar 2016


Accepted Paper

Inserted: 10 sep 2014
Last Updated: 7 mar 2016

Journal: Indiana Univ. Math. J.
Year: 2014


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.

Tags: GeMeThNES


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