On polyharmonic helices in space forms
Differential Geometry
2023-02-03 v2
Abstract
In this article we study polyharmonic curves of constant curvature where we mostly focus on the case of curves on the sphere. We classify polyharmonic curves of constant curvature in three-dimensional space forms and derive an explicit family of polyharmonic curves on the sphere. Our results give new insights into the geometric structure of higher order variational problems.
Cite
@article{arxiv.2109.13747,
title = {On polyharmonic helices in space forms},
author = {Volker Branding},
journal= {arXiv preprint arXiv:2109.13747},
year = {2023}
}