Conjugate mates for non-null Frenet curves
For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove some relationships between a non-null Frenet...
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| Format: | Article |
| Language: | English |
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Sakarya University
2019-08-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/649091 |
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| _version_ | 1850252148085882880 |
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| author | Alev Kelleci |
| author_facet | Alev Kelleci |
| author_sort | Alev Kelleci |
| collection | DOAJ |
| description | For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove some relationships between a non-null Frenet curve and its non-null conjugate mate. |
| format | Article |
| id | doaj-art-69051481fb874effbb8f13859ad6fdf9 |
| institution | OA Journals |
| issn | 2147-835X |
| language | English |
| publishDate | 2019-08-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-69051481fb874effbb8f13859ad6fdf92025-08-20T01:57:44ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2019-08-0123460060410.16984/saufenbilder.49447128Conjugate mates for non-null Frenet curvesAlev Kelleci0https://orcid.org/0000-0003-2528-2131Fırat ÜniversitesiFor each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove some relationships between a non-null Frenet curve and its non-null conjugate mate.https://dergipark.org.tr/tr/download/article-file/649091slant helixconjugate mategeneral helixadjoint curvesalkowski curveanti-salkowski curve |
| spellingShingle | Alev Kelleci Conjugate mates for non-null Frenet curves Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi slant helix conjugate mate general helix adjoint curve salkowski curve anti-salkowski curve |
| title | Conjugate mates for non-null Frenet curves |
| title_full | Conjugate mates for non-null Frenet curves |
| title_fullStr | Conjugate mates for non-null Frenet curves |
| title_full_unstemmed | Conjugate mates for non-null Frenet curves |
| title_short | Conjugate mates for non-null Frenet curves |
| title_sort | conjugate mates for non null frenet curves |
| topic | slant helix conjugate mate general helix adjoint curve salkowski curve anti-salkowski curve |
| url | https://dergipark.org.tr/tr/download/article-file/649091 |
| work_keys_str_mv | AT alevkelleci conjugatematesfornonnullfrenetcurves |