Triharmonic curves in the 3-dimensional Sol space

Stefano Montaldo; Andrea Ratto

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arXiv · 2404.01963

Triharmonic curves in the 3-dimensional Sol space

Stefano Montaldo·Andrea Ratto

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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.

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Stefano Montaldo, Andrea Ratto. 2024-04-02. Triharmonic curves in the 3-dimensional Sol space. https://arxiv.org/abs/2404.01963

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