Polyharmonic maps into the Euclidean space
classification
🧮 math.DG
keywords
euclideanmapspolyharmonicspacecdotscompletedomainfinite
read the original abstract
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 space, then such a map is harmonic.
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