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

Maeta, Shun

doi:info:doi/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	Maeta, Shun 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	49
号	4
開始ページ	1035
終了ページ	1063
刊行年月	2012-12
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/23427
言語	英語
DOI	info:doi/10.18910/23427

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.49(4) P.1035-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012-12
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/23427
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	info:doi/10.18910/23427
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/23427
citation_doi	info:doi/10.18910/23427

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