20 citations · 87 across the 22 of their papers we have counts for
4 papers · 1 filter
Triharmonic isometric immersions into a manifold of non-positively constant curvature
Shun Maeta, Nobumitsu Nakauchi, Hajime Urakawa
A triharmonic map is a critical point of the 3-energy in the space of smooth maps between two Riemannian manifolds. We study a triharmonic isometric immersion into a space form of…
Polyharmonic maps into the Euclidean space
Nobumitsu Nakauchi, Hajime Urakawa
We study polyharmonic (k-harmonic) maps between Riemannian manifolds with finite j-energies (j=1, cdots, 2k-2). We show if the domain is complete and the target is the Euclidean sp…
Sasaki manifolds, Kaehler cone manifolds and biharmonic submanifolds
Hajime Urakawa
For a Legendrian submanifold of a Sasaki manifold , we study harmonicity and biharmonicity of the corresponding Lagrangian cone submanifold C(M) of a Kaehler manifold C(N).…
Conformal change of Riemannian metrics and biharmonic maps
Hisashi Naito, Hajime Urakawa
For the reduction ordinary differential equation due to Baird and Kamissoko \cite{BK} for biharmonic maps from a Riemannian manifold into another one , we show t…