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Polygons with Prescribed Gauss Map in Hadamard Spaces and Euclidean Buildings

  Published:2006-09-01
 Printed: Sep 2006
  • Andreas Balser
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Abstract

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 Euclidean buildings, Hadamard spaces, polygons
MSC Classifications: 53C20 show english descriptions Global Riemannian geometry, including pinching [See also 31C12, 58B20] 53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20]
 

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