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

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DOI

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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     author = {Balser, Andreas},
     title = {Polygons with {Prescribed} {Gauss} {Map} in {Hadamard} {Spaces} and {Euclidean} {Buildings}},
     journal = {Canadian mathematical bulletin},
     pages = {321--336},
     year = {2006},
     volume = {49},
     number = {3},
     doi = {10.4153/CMB-2006-033-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-033-3/}
}
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