A Kummer construction for gravitational instantons

Details A Kummer construction for gravitational instantons A Kummer construction for gravitational instantons

2010-05-27

arxiv.org/abs/1005.5133v3

Mathematics

Differential Geometry

The construction of locally hyperkahler ALH spaces is corrected and completed

Scientific paper

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.

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