English

A structure theorem for polyharmonic maps between Riemannian manifolds

Differential Geometry 2020-12-23 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.1901.08445,
  title  = {A structure theorem for polyharmonic maps between Riemannian manifolds},
  author = {Volker Branding},
  journal= {arXiv preprint arXiv:1901.08445},
  year   = {2020}
}
R2 v1 2026-06-23T07:21:10.714Z