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- W1617291299 abstract "J.Eells and L. Lemaire introduced k-harmonic maps, and T. Ichiyama, J. Inoguchi and H.Urakawa showed the first variation formula. In this paper, we give the second variation formula of k-harmonic maps, and show non-existence theorem of proper k-harmonic maps into a Riemannian manifold of non-positive curvature (k >= 2). We also study k-harmonic maps into the product Riemannian manifold, and describe the ordinary differential equations of 3-harmonic curves and 4-harmonic curves into a sphere, and show their non-trivial solutions." @default.
- W1617291299 created "2016-06-24" @default.
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- W1617291299 date "2010-03-05" @default.
- W1617291299 modified "2023-09-27" @default.
- W1617291299 title "Geometry of k-harmonic maps and the second variational formula of the k-energy" @default.
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