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Article Dans Une Revue Symmetry, Integrability and Geometry : Methods and Applications Année : 2023

About a Family of ALF Instantons with Conical Singularities

Résumé

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.

Dates et versions

hal-04251054 , version 1 (20-10-2023)

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Olivier Biquard, Paul Gauduchon. About a Family of ALF Instantons with Conical Singularities. Symmetry, Integrability and Geometry : Methods and Applications, 2023, 19, 079, 19 p. ⟨10.3842/SIGMA.2023.079⟩. ⟨hal-04251054⟩
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