About a Family of ALF Instantons with Conical Singularities

Author:

Olivier Biquard, Paul Gauduchon

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

SIGMA 19 (2023), 079, 19 pages

date:

2023-06-18 16:00:00

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.

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