Special canal surfaces with Bishop frame and quaternions
The purpose of this paper is to show that canal and tubular surfaces can be obtained by special curves. Also, we reckon the equations of these surfaces with Bishop frame and acquire some corollaries for special curves. Besides, these surfaces are acquired by quaternion and homothetic motion.
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2024-04-01
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| Series: | Surveys in Mathematics and its Applications |
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| Online Access: | https://www.utgjiu.ro/math/sma/v19/p19_07.pdf |
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| _version_ | 1850123712608600064 |
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| author | Abdussamet Çalışkan |
| author_facet | Abdussamet Çalışkan |
| author_sort | Abdussamet Çalışkan |
| collection | DOAJ |
| description | The purpose of this paper is to show that canal and tubular surfaces can be obtained by special curves. Also, we reckon the equations of these surfaces with Bishop frame and acquire some corollaries for special curves. Besides, these surfaces are acquired by quaternion and homothetic motion. |
| format | Article |
| id | doaj-art-ae901b4e2f75421fb02fcc455ebe53d7 |
| institution | OA Journals |
| issn | 1843-7265 1842-6298 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj-art-ae901b4e2f75421fb02fcc455ebe53d72025-08-20T02:34:32ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982024-04-0119 (2024)127142Special canal surfaces with Bishop frame and quaternions Abdussamet Çalışkan0Ordu University, Evkaf Street, Fatsa Vocational School, Accounting and Tax Applications, Ordu, TurkeyThe purpose of this paper is to show that canal and tubular surfaces can be obtained by special curves. Also, we reckon the equations of these surfaces with Bishop frame and acquire some corollaries for special curves. Besides, these surfaces are acquired by quaternion and homothetic motion. https://www.utgjiu.ro/math/sma/v19/p19_07.pdfcanal surfacebertrand curveinvolute-evolute curvemannheim curvequaternionrotation matriceshomothetic motion |
| spellingShingle | Abdussamet Çalışkan Special canal surfaces with Bishop frame and quaternions Surveys in Mathematics and its Applications canal surface bertrand curve involute-evolute curve mannheim curve quaternion rotation matrices homothetic motion |
| title | Special canal surfaces with Bishop frame and quaternions |
| title_full | Special canal surfaces with Bishop frame and quaternions |
| title_fullStr | Special canal surfaces with Bishop frame and quaternions |
| title_full_unstemmed | Special canal surfaces with Bishop frame and quaternions |
| title_short | Special canal surfaces with Bishop frame and quaternions |
| title_sort | special canal surfaces with bishop frame and quaternions |
| topic | canal surface bertrand curve involute-evolute curve mannheim curve quaternion rotation matrices homothetic motion |
| url | https://www.utgjiu.ro/math/sma/v19/p19_07.pdf |
| work_keys_str_mv | AT abdussametcalıskan specialcanalsurfaceswithbishopframeandquaternions |