INVARIANT MATSUMOTO METRICS ON HOMOGENEOUS SPACES

Salimi Moghaddam, H. R.

Osaka Journal of Mathematics, 2014, 51(1), 39-45

アクセス数:121件（2025-06-22 12:15 集計）

固定URL: https://doi.org/10.18910/29186

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タイトル	INVARIANT MATSUMOTO METRICS ON HOMOGENEOUS SPACES
著者	著者名 Salimi Moghaddam, H. R.
抄録	In this paper we consider invariant Matsumoto metrics which are induced by invariant Riemannian metrics and invariant vector fields on homogeneous spaces, and then we give the flag curvature formula of them. Also we study the special cases of naturally reductive spaces and bi-invariant metrics. We end the article by giving some examples of geodesically complete Matsumoto spaces.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	51(1)
ページ	39-45
刊行年月	2014-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/29186
DOI	https://doi.org/10.18910/29186
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 51, Number 1　(2014-1）

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. 2014, 51(1), p. 39-45
DC.title	INVARIANT MATSUMOTO METRICS ON HOMOGENEOUS SPACES
DC.creator	Salimi Moghaddam, H. R.
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	2014-01
DCTERMS.abstract	In this paper we consider invariant Matsumoto metrics which are induced by invariant Riemannian metrics and invariant vector fields on homogeneous spaces, and then we give the flag curvature formula of them. Also we study the special cases of naturally reductive spaces and bi-invariant metrics. We end the article by giving some examples of geodesically complete Matsumoto spaces.
DC.identifier	10.18910/29186
DC.format	29186
citation_title	INVARIANT MATSUMOTO METRICS ON HOMOGENEOUS SPACES
citation_author	Salimi Moghaddam, H. R.
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2014-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	51
citation_issue	1
citation_firstpage	39
citation_lastpage	45
citation_public_url	https://hdl.handle.net/11094/29186
citation_doi_detail	10.18910/29186
citation_doi	https://doi.org/10.18910/29186