Mostow rigidity for Fuchsian buildings

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dc.creatorXie, Xiangdong
dc.date2004-07-23
dc.date.accessioned2026-07-07T05:10:36Z
dc.date.available2026-07-07T05:10:36Z
dc.descriptionWe show that if a homeomorphism between the ideal boundaries of two Fuchsian buildings preserves the combinatorial cross ratio almost everywhere, then it extends to an isomorphism between the Fuchsian buildings. It follows that Mostow rigidity holds for Fuchsian buildings: if a group acts properly and cocompactly on two Fuchsian buildings X and Y, then X and Y are equivariantly isomorphic.
dc.description58 pages
dc.identifierhttps://arxiv.org/abs/math/0407394
dc.identifierhttp://arxiv.org/abs/math/0407394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71977
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject51E24, 20F65, 57M20
dc.titleMostow rigidity for Fuchsian buildings
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