About a Family of ALF Instantons with Conical Singularities

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...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2023
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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Biquard, Olivier
Gauduchon, Paul
author_facet Biquard, Olivier
Gauduchon, Paul
citation_txt About a Family of ALF Instantons with Conical Singularities. Olivier Biquard and Paul Gauduchon. SIGMA 19 (2023), 079, 19 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description 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.
first_indexed 2026-03-14T07:02:01Z
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last_indexed 2026-03-14T07:02:01Z
publishDate 2023
publisher Інститут математики НАН України
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spelling Biquard, Olivier
Gauduchon, Paul
2026-01-22T09:14:47Z
2023
About a Family of ALF Instantons with Conical Singularities. Olivier Biquard and Paul Gauduchon. SIGMA 19 (2023), 079, 19 pages
1815-0659
2020 Mathematics Subject Classification: 53C25; 53C55
arXiv:2306.11110
https://nasplib.isofts.kiev.ua/handle/123456789/212005
https://doi.org/10.3842/SIGMA.2023.079
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.
We thank the referees for their careful reading of the article.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
About a Family of ALF Instantons with Conical Singularities
Article
published earlier
spellingShingle About a Family of ALF Instantons with Conical Singularities
Biquard, Olivier
Gauduchon, Paul
title About a Family of ALF Instantons with Conical Singularities
title_full About a Family of ALF Instantons with Conical Singularities
title_fullStr About a Family of ALF Instantons with Conical Singularities
title_full_unstemmed About a Family of ALF Instantons with Conical Singularities
title_short About a Family of ALF Instantons with Conical Singularities
title_sort about a family of alf instantons with conical singularities
url https://nasplib.isofts.kiev.ua/handle/123456789/212005
work_keys_str_mv AT biquardolivier aboutafamilyofalfinstantonswithconicalsingularities
AT gauduchonpaul aboutafamilyofalfinstantonswithconicalsingularities