THE SECOND VARIATIONAL FORMULA OF THE k-ENERGY AND k-HARMONIC CURVES

Maeta, Shun

Osaka Journal of Mathematics, 2012, 49(4), 1035-1063

アクセス数:154件（2025-07-03 17:59 集計）

固定URL: https://doi.org/10.18910/23427

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タイトル	THE SECOND VARIATIONAL FORMULA OF THE k-ENERGY AND k-HARMONIC CURVES
著者	NRID 1000000709644 1000000709644 著者名 Maeta, Shun
抄録	In [4], J. Eells and L. Lemaire introduced k-energy and k-harmonic maps. In 1989, S.B. Wang [17] showed the first variation formula of the k-energy. In this paper, we give the second variation formula of k-energy and a notion of weakly stable and unstable. We also study k-harmonic maps into product Riemannian manifolds and k-harmonic curves into Riemannian manifolds with constant sectional curvature. Moreover, we give some non-trivial solutions of 3-harmonic curves.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(4)
ページ	1035-1063
刊行年月	2012-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23427
DOI	https://doi.org/10.18910/23427
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 49, Number 4　(2012-12）

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. 2012, 49(4), p. 1035-1063
DC.title	THE SECOND VARIATIONAL FORMULA OF THE k-ENERGY AND k-HARMONIC CURVES
DC.creator	Maeta, Shun
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	2012-12
DCTERMS.abstract	In [4], J. Eells and L. Lemaire introduced k-energy and k-harmonic maps. In 1989, S.B. Wang [17] showed the first variation formula of the k-energy. In this paper, we give the second variation formula of k-energy and a notion of weakly stable and unstable. We also study k-harmonic maps into product Riemannian manifolds and k-harmonic curves into Riemannian manifolds with constant sectional curvature. Moreover, we give some non-trivial solutions of 3-harmonic curves.
DC.identifier	10.18910/23427
DC.format	23427
citation_title	THE SECOND VARIATIONAL FORMULA OF THE k-ENERGY AND k-HARMONIC CURVES
citation_author	Maeta, Shun
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	4
citation_firstpage	1035
citation_lastpage	1063
citation_public_url	https://hdl.handle.net/11094/23427
citation_doi_detail	10.18910/23427
citation_doi	https://doi.org/10.18910/23427