18 citations · 52 across the 37 of their papers we have counts for
5 papers · 2 filters
k-harmonic maps into a Riemannian manifold with constant sectional curvature
Shun Maeta
J. Eells and L. Lemaire introduced k-harmonic maps, and Wang Shaobo showed the first variational formula. When, k=2, it is called biharmonic maps (2-harmonic maps). There have been…
k-Harmonic immersion and submersion into a sphere
Shun Maeta
J. Eells and L. Lemaire introduced k-harmonic maps, and Wang Shaobo showed the first variational formula. When, k=2, it is called biharmonic maps (2-harmonic maps). There have been…
The second variational formula of the k-energy and k-harmonic curves
Shun Maeta
J.Eells and L. Lemaire introduced -harmonic maps, and Wang Shaobo showed the first variation formula. In this paper, we give the second variation formula of -energy, and give…
k-harmonic curves into a Riemannian manifold with constant sectional curvature
Shun Maeta
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 describe the ordinary differenti…
Geometry of k-harmonic maps and the second variational formula of the k-energy
Shun Maeta
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 formul…