CONFORMAL SYMMETRIES OF SELF-DUAL HYPERBOLIC MONOPOLE METRICS

Honda, Nobuhiro; Viaclovsky, Jeff

doi:https://doi.org/10.18910/24485

CONFORMAL SYMMETRIES OF SELF-DUAL HYPERBOLIC MONOPOLE METRICS

Honda, Nobuhiro; Viaclovsky, Jeff

Osaka Journal of Mathematics, 2013, 50(1), 197-249

アクセス数:158件（2025-05-02 13:18 集計）

固定URL: https://doi.org/10.18910/24485

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タイトル	CONFORMAL SYMMETRIES OF SELF-DUAL HYPERBOLIC MONOPOLE METRICS
著者	NRID 1000060311809 1000060311809 著者名 Honda, Nobuhiro
著者	著者名 Viaclovsky, Jeff
抄録	We determine the group of conformal automorphisms of the self-dual metrics on n # CPC2 due to LeBrun for n ≥ 3, and Poon for n D 2. These metrics arise from an ansatz involving a circle bundle over hyperbolic three-space H＾3 minus a finite number of points, called monopole points. We show that for n ≥ 3, any conformal automorphism is a lift of an isometry of H＾3 which preserves the set of monopole points. Furthermore, we prove that for n D 2, such lifts form a subgroup of index 2 in the full automorphism group, which we show to be a semi-direct product (U(1) _ U(1)) Ì D_4, where D_4 is the dihedral group of order 8.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(1)
ページ	197-249
刊行年月	2013-03
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24485
DOI	https://doi.org/10.18910/24485
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 50, Number 1　(2013-3）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2013, 50(1), p. 197-249
DC.title	CONFORMAL SYMMETRIES OF SELF-DUAL HYPERBOLIC MONOPOLE METRICS
DC.creator	Honda, Nobuhiro
DC.creator	Viaclovsky, Jeff
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-03
DCTERMS.abstract	We determine the group of conformal automorphisms of the self-dual metrics on n # CPC2 due to LeBrun for n ≥ 3, and Poon for n D 2. These metrics arise from an ansatz involving a circle bundle over hyperbolic three-space H＾3 minus a finite number of points, called monopole points. We show that for n ≥ 3, any conformal automorphism is a lift of an isometry of H＾3 which preserves the set of monopole points. Furthermore, we prove that for n D 2, such lifts form a subgroup of index 2 in the full automorphism group, which we show to be a semi-direct product (U(1) _ U(1)) Ì D_4, where D_4 is the dihedral group of order 8.
DC.identifier	10.18910/24485
DC.format	24485
citation_title	CONFORMAL SYMMETRIES OF SELF-DUAL HYPERBOLIC MONOPOLE METRICS
citation_author	Honda, Nobuhiro
citation_author	Viaclovsky, Jeff
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-03
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	1
citation_firstpage	197
citation_lastpage	249
citation_public_url	https://hdl.handle.net/11094/24485
citation_doi_detail	10.18910/24485
citation_doi	https://doi.org/10.18910/24485

CONFORMAL SYMMETRIES OF SELF-DUAL HYPERBOLIC MONOPOLE METRICS

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