Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski Space
Associated curves bring meaningful geometric expression to the physics and mathematics fields in the characterization of curves and surfaces created by those curves, their behavior, and the study of particle motion in space-time. In this work, we examine the relationship between adjoint curves and f...
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Sakarya University
2022-06-01
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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/2214888 |
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| author | Talat Körpınar Ahmet Sazak |
| author_facet | Talat Körpınar Ahmet Sazak |
| author_sort | Talat Körpınar |
| collection | DOAJ |
| description | Associated curves bring meaningful geometric expression to the physics and mathematics fields in the characterization of curves and surfaces created by those curves, their behavior, and the study of particle motion in space-time. In this work, we examine the relationship between adjoint curves and focal curves, which are two important examples of associated curves. We do this review for spacelike curves under quasi(q)-frame in 3D Minkowski space. To put it more clearly, we obtain some new characterizations by defining the focal curve of the adjoint curve of a spacelike curve in this space. |
| format | Article |
| id | doaj-art-ce56859dd4b040a7bf06c32cbe86e1ae |
| institution | OA Journals |
| issn | 2147-835X |
| language | English |
| publishDate | 2022-06-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-ce56859dd4b040a7bf06c32cbe86e1ae2025-08-20T02:31:52ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2022-06-0126352352910.16984/saufenbilder.106352628Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski SpaceTalat Körpınar0https://orcid.org/0000-0003-4000-0892Ahmet Sazak1https://orcid.org/0000-0002-5620-6441MUS ALPARSLAN UNIVERSITYMUŞ ALPARSLAN ÜNİVERSİTESİAssociated curves bring meaningful geometric expression to the physics and mathematics fields in the characterization of curves and surfaces created by those curves, their behavior, and the study of particle motion in space-time. In this work, we examine the relationship between adjoint curves and focal curves, which are two important examples of associated curves. We do this review for spacelike curves under quasi(q)-frame in 3D Minkowski space. To put it more clearly, we obtain some new characterizations by defining the focal curve of the adjoint curve of a spacelike curve in this space.https://dergipark.org.tr/tr/download/article-file/2214888quasi-framespacelike curvefocal curveadjoint curve |
| spellingShingle | Talat Körpınar Ahmet Sazak Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski Space Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi quasi-frame spacelike curve focal curve adjoint curve |
| title | Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski Space |
| title_full | Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski Space |
| title_fullStr | Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski Space |
| title_full_unstemmed | Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski Space |
| title_short | Quasi-Focal Curves of Spacelike Adjoint Curves in 3D Minkowski Space |
| title_sort | quasi focal curves of spacelike adjoint curves in 3d minkowski space |
| topic | quasi-frame spacelike curve focal curve adjoint curve |
| url | https://dergipark.org.tr/tr/download/article-file/2214888 |
| work_keys_str_mv | AT talatkorpınar quasifocalcurvesofspacelikeadjointcurvesin3dminkowskispace AT ahmetsazak quasifocalcurvesofspacelikeadjointcurvesin3dminkowskispace |