Accepted Paper

Inserted: 29 sep 2020
Last Updated: 15 aug 2021

Journal: Inventiones mathematicae
Year: 2021
Doi: 10.1007/s00222-021-01063-z

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 $\mathbb{H}^1$.