Submitted Paper

Inserted: 2 feb 2023
Last Updated: 3 feb 2023

Year: 2023

Abstract:

We prove an integral formula for the spherical measure of hypersurfaces in equiregular sub-Riemannian manifolds. Among various technical tools, we establish a general criterion for the uniform convergence of parametrized sub-Riemannian distances, and local uniform asymptotics for the diameter of small metric balls.

Keywords: Hausdorff measure, sub-Riemannian distance, Set of finite perimeter, Sub-Riemannian manifold, Caccioppoli set

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• 20230202-areaSR.pdf