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Sub-Finsler Horofunction Boundaries of the Heisenberg Group
Analysis and Geometry in Metric Spaces ( IF 1 ) Pub Date : 2021-01-01 , DOI: 10.1515/agms-2020-0121
Nate Fisher 1 , Sebastiano Nicolussi Golo 2
Affiliation  

We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics, that is, those that arise as asymptotic cones of word metrics, on the Heisenberg group. We develop theory for the more general case of horofunction boundaries in homogeneous groups by connecting horofunctions to Pansu derivatives of the distance function.

中文翻译:

海森堡小组的亚芬斯勒函数边界

我们对Heisenberg组上多边形次Finsler度量(即,作为单词度量的渐近锥出现的那些)的完整函数边界进行了完整的解析和几何描述。我们通过将泛函与距离函数的Pansu导数建立同质群中泛函边界的更一般情况的理论。
更新日期:2021-01-01
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