On differentiable compactifications of the hyperbolic space

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dc.creatorKloeckner, Benoit
dc.date2005-06-08
dc.date.accessioned2026-07-07T12:23:50Z
dc.date.available2026-07-07T12:23:50Z
dc.descriptionThe group of direct isometries of the real n-dimensional hyperbolic space is G=SOo(n,1). This isometric action admits many differentiable compactifications into an action on the closed ball. We prove that all such compactifications are topologically conjugate but not necessarily differentiably conjugate. We give the classifications of real analytic and smooth compactifications.
dc.description11 p
dc.identifierhttps://arxiv.org/abs/math/0506135
dc.identifierhttp://arxiv.org/abs/math/0506135
dc.identifierTransformation Groups 11, 2 (2006) 185-194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214129
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subject53C35
dc.titleOn differentiable compactifications of the hyperbolic space
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