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Rigidity of quasi-isometries for some hyperbolic buildings. (English) Zbl 0976.30011

Summary: For a family of negatively-curved buildings, we show that any quasi-isometry lies within bounded distance from an isometry.

MSC:

30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
51E24 Buildings and the geometry of diagrams
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