Calculus of Variations and Geometric Measure Theory
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V. Magnani

Rotational symmetries and spherical measure in homogeneous groups

created by magnani on 30 Sep 2020
modified on 30 May 2021

[BibTeX]

Submitted Paper

Inserted: 30 sep 2020
Last Updated: 30 may 2021

Pages: 28
Year: 2020
Links: personal webpage

Abstract:

We present different types of rotational symmetries for distances in homogeneous groups, showing that the area formula for the associated spherical measure takes a simple form.

Keywords: area formula, spherical measure, homogeneous group, centered Hausdorff measure, homogeneous distance, rotational symmetry


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