Convex rank 1 subsets of Euclidean buildings (of type A
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Authors: | Andreas Balser |
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Institution: | 1. Mathematisches Institut, Ludwig-Maximilians-Universit?t München, Theresienstrasse 39, D-80333, Munich, Germany
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Abstract: | For a Euclidean building X of type A
2, we classify the 0-dimensional subbuildings A of ∂
T
X that occur as the asymptotic boundary of closed convex subsets. In particular, we show that triviality of the holonomy of
a triple (of points of A) is (essentially) sufficient. To prove this, we construct new convex subsets as the union of convex sets.
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Keywords: | Euclidean buildings Hadamard spaces |
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