Calculus of Variations and Geometric Measure Theory
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A. Merlo

Geometry of $1$-codimensional measures in Heisenberg groups

created by merlo on 29 Sep 2020
modified on 15 Aug 2021

[BibTeX]

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 $\mathbb{H}^1$.

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