Heisenberg群中$1$ -余维测度的几何
Geometry of $1$-codimensional measures in Heisenberg groups
摘要:
本文研究了Heisenberg群$\mathbb{H}^n$中密度测度的切向性质。在其他结果中,我们证明了$(2n+1)$ -密度的措施只有平坦的切线,并得出了$\mathbb{H}^1$的一致措施的分类。
英文摘要:
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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