English

On the nonexistence of harmonic and bi-harmonic maps

Differential Geometry 2020-04-20 v1

Abstract

In this paper, we study the existence of harmonic and bi-harmonic maps into Riemannian manifolds admitting a conformal vector field, or a nontrivial Ricci solitons.

Keywords

Cite

@article{arxiv.2004.08224,
  title  = {On the nonexistence of harmonic and bi-harmonic maps},
  author = {Ahmed Mohammed Cherif},
  journal= {arXiv preprint arXiv:2004.08224},
  year   = {2020}
}