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

[BibTeX]

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

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