Triharmonic curves in the 3-dimensional Sol space
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913295844245504 |
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| author | Montaldo, Stefano Ratto, Andrea |
| author_facet | Montaldo, Stefano Ratto, Andrea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01963 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Triharmonic curves in the 3-dimensional Sol space Montaldo, Stefano Ratto, Andrea Differential Geometry 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. |
| title | Triharmonic curves in the 3-dimensional Sol space |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2404.01963 |