About a Family of ALF Instantons with Conical Singularities

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• ISSN: 1815-0659
• Hauptverfasser: Biquard, Olivier, Gauduchon, Paul
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212005
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...