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

• 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.

収録刊行物

• Osaka Journal of Mathematics

  Osaka Journal of Mathematics 49 (4), 1035-1063, 2012-12

  Osaka University and Osaka City University, Departments of Mathematics

詳細情報

• CRID: 1390290699787260672
• NII論文ID: 120005986484
• NII書誌ID: AA00765910
• DOI: 10.18910/23427
• HANDLE: 11094/23427
• ISSN: 00306126
• Web Site: https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_111F0000002-04904-9
• 本文言語コード: en
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