COMPATIBILITY BETWEEN JACOBI STRUCTURES AND PSEUDO-RIEMANNIAN COMETRICS ON JACOBI ALGEBROIDS

Kimura, Naoki; Nakamura, Tomoya

doi:https://doi.org/10.18910/101129

COMPATIBILITY BETWEEN JACOBI STRUCTURES AND PSEUDO-RIEMANNIAN COMETRICS ON JACOBI ALGEBROIDS

Kimura, Naoki; Nakamura, Tomoya

Osaka Journal of Mathematics, 2025, 62(2), 281-294

アクセス数:57件（2026-02-15 12:39 集計）

固定URL: https://doi.org/10.18910/101129

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タイトル	COMPATIBILITY BETWEEN JACOBI STRUCTURES AND PSEUDO-RIEMANNIAN COMETRICS ON JACOBI ALGEBROIDS
著者	著者名 Kimura, Naoki
著者	NRID 1000060801256 1000060801256 著者名 Nakamura, Tomoya
抄録	We define compatibility between Jacobi structures and pseudo-Riemannian cometrics on Jacobi algebroids. This notion is a generalization of the compatibility between Poisson structures and pseudo-Riemannian cometrics on manifolds, which was defined by Boucetta [4]. We show that the compatibility with a cometric is “preserved” by the Poissonization of a Jacobi structure. Furthermore, we prove that for a contact pseudo-metric structure on a manifold, satisfying the compatibility condition is equivalent to being a Sasakian pseudo-metric structure.
出版者	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
収録物名	Osaka Journal of Mathematics
巻(号)	62(2)
ページ	281-294
刊行年月	2025-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/101129
DOI	https://doi.org/10.18910/101129
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 62, Number 2 （2025-04）

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. 2025, 62(2), p. 281-294
DC.title	COMPATIBILITY BETWEEN JACOBI STRUCTURES AND PSEUDO-RIEMANNIAN COMETRICS ON JACOBI ALGEBROIDS
DC.creator	Kimura, Naoki
DC.creator	Nakamura, Tomoya
DC.publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-04
DCTERMS.abstract	We define compatibility between Jacobi structures and pseudo-Riemannian cometrics on Jacobi algebroids. This notion is a generalization of the compatibility between Poisson structures and pseudo-Riemannian cometrics on manifolds, which was defined by Boucetta [4]. We show that the compatibility with a cometric is “preserved” by the Poissonization of a Jacobi structure. Furthermore, we prove that for a contact pseudo-metric structure on a manifold, satisfying the compatibility condition is equivalent to being a Sasakian pseudo-metric structure.
DC.identifier	10.18910/101129
DC.format	101129
citation_title	COMPATIBILITY BETWEEN JACOBI STRUCTURES AND PSEUDO-RIEMANNIAN COMETRICS ON JACOBI ALGEBROIDS
citation_author	Kimura, Naoki
citation_author	Nakamura, Tomoya
citation_publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
citation_language	英語
citation_date	2025-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	2
citation_firstpage	281
citation_lastpage	294
citation_public_url	https://hdl.handle.net/11094/101129
citation_doi_detail	10.18910/101129
citation_doi	https://doi.org/10.18910/101129

COMPATIBILITY BETWEEN JACOBI STRUCTURES AND PSEUDO-RIEMANNIAN COMETRICS ON JACOBI ALGEBROIDS

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