English

About a Family of ALF Instantons with Conical Singularities

Differential Geometry 2023-10-23 v2

Abstract

We apply the techniques developed in our previous article to describe some interesting families of ALF gravitational instantons with conical singularities. In particular, we completely understand the 5-dimensional family of Chen-Teo metrics and prove that only 4-dimensional subfamilies can be smoothly compactified so that the metric has conical singularities.

Keywords

Cite

@article{arxiv.2306.11110,
  title  = {About a Family of ALF Instantons with Conical Singularities},
  author = {Olivier Biquard and Paul Gauduchon},
  journal= {arXiv preprint arXiv:2306.11110},
  year   = {2023}
}