Wormholes in ACH Einstein manifolds

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.

28 pages, 1 figures, improved and simplified exposition

References in corpus (1)

• On the Stability of Kähler-Einstein Metrics

Cited by in corpus (1)

• A remark on the Herzlich volume of asymptotically complex hyperbolic Einstein manifolds