Adjoint curves of special Smarandache curves with respect to Bishop frame
In this paper, adjoint curves generated by means of integral curves of special Smarandache curves with respect to the Bishop frame in three-dimensional Euclidean space were introduced. Relations between the main curve and the Bishop apparatus of these adjoint curves were obtained. Some important res...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241680 |
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| author | Esra Damar |
| author_facet | Esra Damar |
| author_sort | Esra Damar |
| collection | DOAJ |
| description | In this paper, adjoint curves generated by means of integral curves of special Smarandache curves with respect to the Bishop frame in three-dimensional Euclidean space were introduced. Relations between the main curve and the Bishop apparatus of these adjoint curves were obtained. Some important results were given concerning the slant helix and general helix of these curves. Finally, these findings were illustrated with figures. |
| format | Article |
| id | doaj-art-92adb6ab776c4499a5a038190bbb98fb |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-92adb6ab776c4499a5a038190bbb98fb2025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912353553537610.3934/math.20241680Adjoint curves of special Smarandache curves with respect to Bishop frameEsra Damar0Department of Motor Vehicles and Transportation Technologies, Vocational School of Technical Sciences, Hitit University, Çorum 19100, TurkeyIn this paper, adjoint curves generated by means of integral curves of special Smarandache curves with respect to the Bishop frame in three-dimensional Euclidean space were introduced. Relations between the main curve and the Bishop apparatus of these adjoint curves were obtained. Some important results were given concerning the slant helix and general helix of these curves. Finally, these findings were illustrated with figures.https://www.aimspress.com/article/doi/10.3934/math.20241680adjoint curvessmarandache curvesgeneral helixslant helixbishop frame |
| spellingShingle | Esra Damar Adjoint curves of special Smarandache curves with respect to Bishop frame AIMS Mathematics adjoint curves smarandache curves general helix slant helix bishop frame |
| title | Adjoint curves of special Smarandache curves with respect to Bishop frame |
| title_full | Adjoint curves of special Smarandache curves with respect to Bishop frame |
| title_fullStr | Adjoint curves of special Smarandache curves with respect to Bishop frame |
| title_full_unstemmed | Adjoint curves of special Smarandache curves with respect to Bishop frame |
| title_short | Adjoint curves of special Smarandache curves with respect to Bishop frame |
| title_sort | adjoint curves of special smarandache curves with respect to bishop frame |
| topic | adjoint curves smarandache curves general helix slant helix bishop frame |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241680 |
| work_keys_str_mv | AT esradamar adjointcurvesofspecialsmarandachecurveswithrespecttobishopframe |