Coarse rigidity of Euclidean buildings

Details Coarse rigidity of Euclidean buildings Coarse rigidity of Euclidean buildings

2009-02-08

arxiv.org/abs/0902.1332v1

Mathematics

Metric Geometry

Scientific paper

We prove the following rigidity results. Coarse equivalences between metrically complete Euclidean buildings preserve thick spherical buildings at infinity. If all irreducible factors have rank at least two, then coarsely equivalent Euclidean buildings are isometric (up to scaling factors); if in addition none of the irreducible factors is a Euclidean cone, then the isometry is unique and has finite distance from the coarse equivalence. This generalizes work of Kleiner and Leeb.

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