1. CMB 2006 (vol 49 pp. 321)
|Polygons with Prescribed Gauss Map in Hadamard Spaces and Euclidean Buildings |
We show that given a stable weighted configuration on the asymptotic boundary of a locally compact Hadamard space, there is a polygon with Gauss map prescribed by the given weighted configuration. Moreover, the same result holds for semistable configurations on arbitrary Euclidean buildings.
Keywords:Euclidean buildings, Hadamard spaces, polygons