Geodesic
Polygons with Prescribed Gauss Map in Hadamard Spaces and Euclidean Buildings
Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 321-336

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2006-033-3
Mots-clés : 53C20, Euclidean buildings, Hadamard spaces, polygons 
Balser, Andreas. Polygons with Prescribed Gauss Map in Hadamard Spaces and Euclidean Buildings. Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 321-336. doi: 10.4153/CMB-2006-033-3
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