Curvature at the infinity of asymptotically flat Einstein manifold
Abstract
In this paper, we construct coordinates at the infinity of an asymptotically flat end of a Ricci-flat manifold (Mm, g) as long as the Lm/2 norm of the curvature is finite in this end. As applications, we can define a Weyl tensor at the infinity of M and a version of renormalized volume following Biquard and Hein to ALE Ricci-flat manifolds/orbifolds of any dimension.
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