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Wormholes in ACH Einstein manifolds

Olivier Biquard, Yann Rollin

math.DGarXiv:math/0609558

Abstract

We give a new construction of Einstein and Kaehler-Einstein manifolds which are asymptotically complex hyperbolic, inspired by the work of Mazzeo-Pacard in the real hyperbolic case. The idea is to develop a gluing theorem for 1-handle surgery at infinity, which generalizes the Klein construction for the complex hyperbolic metric.

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