Polygons with Prescribed Gauss Map in Hadamard Spaces and Euclidean Buildings

Canadian mathematical bulletin

关键词: Euclidean buildings;    Hadamard spaces;    polygons;   

DOI  :  10.4153/CMB-2006-033-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We show that given a stable weighted configuration on the asymptoticboundary of alocally compact Hadamard space, there is a polygon with Gaussmap prescribed by the given weighted configuration.Moreover, the same result holds forsemistable configurations on arbitrary Euclidean buildings.

【 授权许可】

Unknown