Polyharmonic maps into the Euclidean space

Authors

  • Nobumitsu Nakauchi
  • Hajime Urakawa

DOI:

https://doi.org/10.1285/i15900932v38n1p89

Keywords:

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

Abstract

We study polyharmonic ($k$-harmonic) maps between Riemannian manifolds with finite $j$-energies $(j=1,\cdots,2k-2)$. 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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Published

23-05-2018

Issue

Volume 38, Issue 1 (2018)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode