A Kummer construction for gravitational instantons
Differential Geometry
2015-05-19 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1005.5133,
title = {A Kummer construction for gravitational instantons},
author = {Olivier Biquard and Vincent Minerbe},
journal= {arXiv preprint arXiv:1005.5133},
year = {2015}
}
Comments
The construction of locally hyperkahler ALH spaces is corrected and completed