2023
DOI: 10.1007/s00526-023-02590-8
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Surface measure on, and the local geometry of, sub-Riemannian manifolds

Sebastiano Don,
Valentino Magnani

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.

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