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-  2018 

Polyharmonic maps into the Euclidean space

DOI: DOI Code: 10.1285/i15900932v38n1p89

Keywords: harmonic map, polyharmonic map, Chen's conjecture, generalized Chen's conjecture

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Abstract:

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

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