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Polygons with Prescribed Gauss Map in Hadamard Spaces and Euclidean Buildings

Published online by Cambridge University Press:  20 November 2018

Andreas Balser
Andreas Balser*
Affiliation:
Mathematisches Institut, LMU München, Theresienstrasse 39, D-80333 München, Germany e-mail: balser@math.lmu.de
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Abstract

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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

53C20Euclidean buildingsHadamard spacespolygons
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 3 , 01 September 2006 , pp. 321 - 336
Copyright
Copyright © Canadian Mathematical Society 2006

References

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