论文标题
海森伯格集团的子绑定器呼吸界限
Sub-Finsler horofunction boundaries of the Heisenberg group
论文作者
论文摘要
我们提供了多边形子鳍指标的呼吸函数边界的完整分析和几何描述 - 即在海森伯格组上以渐近锥为单词指标的渐近锥体的分析和几何描述。我们通过将心脏功能与距离函数的PANSU衍生物连接起来,为均质组中更一般的呼吸界边界的概念开发理论。
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.