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arXiv · 1901.08445

A structure theorem for polyharmonic maps between Riemannian manifolds

Volker Branding
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Abstract

We prove that polyharmonic maps of arbitrary order from complete nonparabolic Riemannian manifolds to arbitrary Riemannian manifolds must be harmonic if certain smallness and integrability conditions hold.

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Volker Branding. 2019-01-24. A structure theorem for polyharmonic maps between Riemannian manifolds. https://doi.org/10.1016/j.jde.2020.11.046

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