Wormholes in ACH Einstein manifolds

Biquard, Olivier; Rollin, Yann

doi:10.1090/S0002-9947-08-04778-8

Wormholes in ACH Einstein manifolds
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by Olivier Biquard and Yann Rollin PDF

Trans. Amer. Math. Soc. 361 (2009), 2021-2046 Request permission

Abstract:

We give a new construction of 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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