Triharmonic curves in the 3-dimensional Sol space
Differential Geometry
2024-04-03 v1
Abstract
The main aim of this paper is to study triharmonic curves in the 3-dimensional homogeneous space Sol. In the first part of the paper we shall obtain a complete classification of proper triharmonic curves with constant geodesic curvature and torsion. In the final section we shall show that these triharmonic curves form a constant angle with a suitable Killing field of constant length along the curve.
Keywords
Cite
@article{arxiv.2404.01963,
title = {Triharmonic curves in the 3-dimensional Sol space},
author = {Stefano Montaldo and Andrea Ratto},
journal= {arXiv preprint arXiv:2404.01963},
year = {2024}
}