arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1908.11639math.MG
收藏

Heisenberg群中$1$ -余维测度的几何

Geometry of $1$-codimensional measures in Heisenberg groups

Andrea Merlo

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 $\mathbb{H}^1$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑