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Maskit combinations of Poincare-Einstein metrics

Rafe Mazzeo, Frank Pacard

math.DGarXiv:math/0211099

Abstract

We establish a boundary connected sum theorem for asymptotically hyperbolic Einstein metrics; this requires no nondegeneracy hypothesis. We also show that if the two metrics have scalar positive conformal infinities, then the same is true for this boundary join.

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