Hölder Compactification for some manifolds with pinched negative curvature near infinity

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dc.creatorBahuaud, Eric
dc.creatorMarsh, Tracey
dc.date2006-01-20
dc.date.accessioned2026-07-07T06:59:08Z
dc.date.available2026-07-07T06:59:08Z
dc.descriptionWe consider a complete noncompact Riemannian manifold M and give conditions on a compact submanifold K of M so that the outward normal exponential map off of the boundary of K is a diffeomorphism onto M\K. We use this to compactify M and show that pinched negative sectional curvature outside K implies M has a compactification with a well defined Hölder structure independent of K. The Hölder constant depends on the ratio of the curvature pinching. This extends and generalizes a 1985 result of Anderson and Schoen.
dc.description27 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0601503
dc.identifierhttp://arxiv.org/abs/math/0601503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107637
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleHölder Compactification for some manifolds with pinched negative curvature near infinity
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