About a Family of ALF Instantons with Conical Singularities

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Biquard, Olivier, Gauduchon, Paul
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212005
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: About a Family of ALF Instantons with Conical Singularities. Olivier Biquard and Paul Gauduchon. SIGMA 19 (2023), 079, 19 pages

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 smooth...