INVARIANT MATSUMOTO METRICS ON HOMOGENEOUS SPACES

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タイトル	INVARIANT MATSUMOTO METRICS ON HOMOGENEOUS SPACES
著者	Salimi Moghaddam, H. R. 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	51
号	1
開始ページ	39
終了ページ	45
刊行年月	2014-01
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/29186
言語	英語
DOI	info:doi/10.18910/29186
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）

著者版フラグ	publisher
NII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.51(1) P.39-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2014-01
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/29186
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	info:doi/10.18910/29186
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/29186
citation_doi	info:doi/10.18910/29186