Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$
UDC 514.75 We introduce admissible Mannheim partner curves according to a modified orthogonal frame in the 3-dimensional Galilean space $G_{3}.$ Moreover, we use a modified orthogonal frame according to torsion. Further, we analyze these partner curves with respect to the modified orthogonal frame b...
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| Datum: | 2026 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9015 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 514.75
We introduce admissible Mannheim partner curves according to a modified orthogonal frame in the 3-dimensional Galilean space $G_{3}.$ Moreover, we use a modified orthogonal frame according to torsion. Further, we analyze these partner curves with respect to the modified orthogonal frame by curvature and torsion and obtain some characterizations of these curves. These findings have led us to the discovery of some curious remarks concerning Mannheim curves. |
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| DOI: | 10.3842/umzh.v78i5-6.9015 |