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.

A new differentiation, shape of the unit ball and perimeter measure / MAGNANI, VALENTINO. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - STAMPA. - 66:1(2017), pp. 183-204.

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

MAGNANI, VALENTINO
2017

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/838700
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