Intrinsic characterization for Lipschitz asymptotically hyperbolic metrics

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dc.creatorBahuaud, Eric
dc.date2007-11-21
dc.date2008-07-11
dc.date.accessioned2026-07-07T09:49:29Z
dc.date.available2026-07-07T09:49:29Z
dc.descriptionConformally compact asymptotically hyperbolic metrics have been intensively studied. The goal of this note is to understand what intrinsic conditions on a complete Riemannian manifold (M,g) will ensure that g is asymptotically hyperbolic in this sense. We use the geodesic compactification by asymptotic geodesic rays to compactify M and appropriate curvature decay conditions to study the regularity of the conformal compactification. We also present an interesting example that shows our conclusion is nearly optimal for our assumptions.
dc.description18 pages; correction to Theorem 1
dc.identifierhttps://arxiv.org/abs/0711.3371
dc.identifierhttp://arxiv.org/abs/0711.3371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164605
dc.subjectDifferential Geometry
dc.subject53C21
dc.titleIntrinsic characterization for Lipschitz asymptotically hyperbolic metrics
dc.typetext

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