Polyharmonic maps into the Euclidean space
We study polyharmonic (-harmonic) maps between Riemannian manifolds with finite -energies . We show that if the domain is complete and the target is the Euclidean space, then such a map is harmonic.
DOI Code: 10.1285/i15900932v38n1p89
Keywords: harmonic map; polyharmonic map; Chen's conjecture; generalized Chen's conjecture
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