Surface measure on, and the local geometry of, sub-Riemannian manifolds.

Autor: Don, Sebastiano, Magnani, Valentino
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Zdroj: Calculus of Variations & Partial Differential Equations; Dec2023, Vol. 62 Issue 9, p1-42, 42p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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