Calculus of Variations and Geometric Measure Theory

V. Magnani

Rotational symmetries and spherical measure in homogeneous groups

created by magnani on 30 Sep 2020
modified on 06 Feb 2022


Published Paper

Inserted: 30 sep 2020
Last Updated: 6 feb 2022

Journal: J. Geom. Anal.
Volume: 32
Pages: 31
Year: 2022
Links: personal webpage, open access


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