Geometry of $1$-codimensional measures in Heisenberg groups (1908.11639v3)

Abstract: This paper is devoted to the study of tangential properties of measures with density in the Heisenberg groups $\mathbb{H}^n$. Among other results we prove that measures with $(2n+1)$-density have only flat tangents and conclude the classification of uniform measures in $\mathbb{H}^1$.