Rigidity results for certain 3-dimensional singular spaces and their fundamental groups

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dc.creatorLafont, J. -F.
dc.date2004-09-29
dc.date.accessioned2026-07-07T05:12:43Z
dc.date.available2026-07-07T05:12:43Z
dc.descriptionIn this paper, we introduce a particularly nice family of locally CAT(-1) spaces, which we call hyperbolic P-manifolds. For $X^3$ a simple, thick hyperbolic P-manifold of dimension 3, we show that certain subsets of the boundary at infinity of the universal cover of $X^3$ are characterized topologically. Straightforward consequences include a version of Mostow rigidity, as well as quasi-isometric rigidity for these spaces.
dc.description26 pages, 3 figures; to appear in Geom. Dedicata
dc.identifierhttps://arxiv.org/abs/math/0409586
dc.identifierhttp://arxiv.org/abs/math/0409586
dc.identifierGeom. Dedicata, 109 (2004), pgs. 197-219.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72680
dc.subjectGroup Theory
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject20F65, 20F67
dc.titleRigidity results for certain 3-dimensional singular spaces and their fundamental groups
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