Communications in Analysis and Geometry
Volume 17 (2009)
Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature
Pages: 343 – 381
We show that asymptotically hyperbolicinitial data satisfying \break smallness conditions indimensions $n\ge 3$, or fast decay conditions in $n\ge 5$,or a genericity condition in $n\ge 9$, can be deformed, bya deformation that is supported arbitrarily far in theasymptotic region, to ones that are exactly Kottler(``Schwarzschild- adS") in the asymptotic region.