English

Bi-symphonic maps between Riemannian manifolds

Differential Geometry 2026-03-19 v1

Abstract

This note introduces an extension to the definition of symphonic maps, denoted as φ:(M,g)(N,h)\varphi:(M,g)\longrightarrow(N,h), by exploring variations in the bi-energy functional associated with the pullback metric φh\varphi^*h between two Riemannian manifolds.

Keywords

Cite

@article{arxiv.2603.17650,
  title  = {Bi-symphonic maps between Riemannian manifolds},
  author = {Ahmed Mohammed Cherif and Kaddour Zegga},
  journal= {arXiv preprint arXiv:2603.17650},
  year   = {2026}
}
R2 v1 2026-07-01T11:26:03.093Z