A non-Newtonian approach in differential geometry of curves: multiplicative rectifying curves
In this paper, we study the rectifying curves in multiplicative Euclidean space of dimension $3$, i.e., those curves for which the position vector always lies in its rectifying plane. Since the definition of rectifying curve is affine and not metric, we are directly able to perform multiplicative di...
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| Veröffentlicht in: | Taehan Suhakhoe hoebo 2024, 61(3), , pp.849-866 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we study the rectifying curves in multiplicative Euclidean space of dimension $3$, i.e., those curves for which the position vector always lies in its rectifying plane. Since the definition of rectifying curve is affine and not metric, we are directly able to perform multiplicative differential-geometric concepts to investigate such curves. By several characterizations, we completely classify the multiplicative rectifying curves by means of the multiplicative spherical curves. KCI Citation Count: 0 |
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| ISSN: | 1015-8634 2234-3016 |
| DOI: | 10.4134/BKMS.b230491 |