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arxiv: math/0401386 · v2 · submitted 2004-01-27 · 🧮 math.DG · hep-th

Boundary regularity of conformally compact Einstein metrics

classification 🧮 math.DG hep-th
keywords boundarycompactconformallydimensionseinsteinmetricscompactificationsconformal
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We show that C^2 conformally compact Riemannian Einstein metrics have conformal compactifications that are smooth up to the boundary in dimension 3 and all even dimensions, and polyhomogeneous in odd dimensions greater than 3.

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