English

Harmonic maps and biharmonic Riemanian submersions

Differential Geometry 2018-10-01 v1

Abstract

Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of biharmonic but not harmonic Riemannian submersions are shown.

Keywords

Cite

@article{arxiv.1809.10814,
  title  = {Harmonic maps and biharmonic Riemanian submersions},
  author = {Hajime Urakawa},
  journal= {arXiv preprint arXiv:1809.10814},
  year   = {2018}
}

Comments

23 pages

R2 v1 2026-06-23T04:21:23.038Z