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Pré-Publication, Document De Travail Année : 2007

Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature

Résumé

We show that asymptotically hyperbolic initial data satisfying smallness conditions in dimensions $n\ge 3$, or fast decay conditions in $n\ge 5$, or a genericity condition in $n\ge 9$, can be deformed, by a deformation which is supported arbitrarily far in the asymptotic region, to ones which are exactly Kottler ("Schwarzschild- adS") in the asymptotic region.

Dates et versions

hal-00201195 , version 1 (26-12-2007)

Identifiants

Citer

Piotr T. Chrusciel, Erwann Delay. Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature. 2007. ⟨hal-00201195⟩
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