论文标题

霍斯基产品的大地测量和视觉边界

Geodesics and Visual boundary of Horospherical Products

论文作者

Ferragut, Tom

论文摘要

我们通过描述其距离,大地测量和视觉边界来研究h鼠产物的几何形状。这些产品既包含离散的示例又包含连续示例,包括lamplighter组的cayley图和与(N1 XN2)形式的IR半导体产物的可解决的谎言组,其中N1和N2是两个简单地连接的,nilpotent Lie oftert。

We study the geometry of horospherical products by providing a description of their distances, geodesics and visual boundary. These products contains both discrete and continuous examples, including Cayley graphs of lamplighter groups and solvable Lie groups of the form IR semi-direct product with (N1 xN2), where N1 and N2 are two simply connected, nilpotent Lie groups.

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