A Kummer construction for gravitational instantons

Abstract

We give a simple and uniform construction of essentially all known deformation classes of gravitational instantons with ALF, ALG or ALH asymptotics and nonzero injectivity radius. We also construct new ALH Ricci flat metrics asymptotic to the product of a real line with a flat 3-manifold.

The construction of locally hyperkahler ALH spaces is corrected and completed

References in corpus (1)

• A mass for ALF manifolds

Cited by in corpus (8)

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• Deformations of Nodal Kähler-Einstein Del Pezzo Surfaces with Discrete Automorphism Groups
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• Harmonic forms on ALF gravitational instantons
• Degenerating Kähler-Einstein cones, locally symmetric cusps, and the Tian-Yau metric
• On the geometry of asymptotically flat manifolds
• Gravitational instantons of type $D_k$ and a generalization of the Gibbons-Hawking Ansatz
• Blowing up Chern-Ricci flat balanced metrics