7-17 April 2008
Niels Bohr International Academy
Europe/Copenhagen timezone

Gluing construction for asymptotically hyperbolic manifolds with constant scalar curvature

10 Apr 2008, 14:00
Aud. A (Niels Bohr International Academy)

Aud. A

Niels Bohr International Academy

Blegdamsvej 17 2100 Copenhagen Denmark


Erwann Delay (Avignon)


We will see that the Corvino gluing technique can be adapted to the asymptotically hyperbolic context. More precisely, if a Riemannian metric with constant negative scalar curvature is asymptotic to a hyperbolic model at infinity, it can be glued on an "annulus" with a Schwarzschild-AdS slice to a new constant scalar curvature metric. This produce initial data for the vacuum Einstein equation that are exactly Schwarzschild-AdS slice outside of a compact set. This is joint work with Piotr Chrusciel.

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