7 citations · 13 across the 3 of their papers we have counts for
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math.DG2013
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…
math.DG2013★ 6 cited
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…