Spinor Equations of Successor Curves
The aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the spinor representations of a curve with unit speed and a successor curve with the same arc length parameter as this curve has been studied. For t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2022-03-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/2240107 |
| _version_ | 1797350194354847744 |
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| author | Hilal Köse Öztaş Tülay Erişir |
| author_facet | Hilal Köse Öztaş Tülay Erişir |
| author_sort | Hilal Köse Öztaş |
| collection | DOAJ |
| description | The aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the spinor representations of a curve with unit speed and a successor curve with the same arc length parameter as this curve has been studied. For this, first of all, the curve with unit speed and its successor curve have been corresponded to two different spinors. Then, using the relationships between these curves, the relationships between the spinors corresponding to these curves have been given. Therefore, geometric interpretations of these curves and corresponding spinors have been made. In addition, different spinor equations of the mates and derivatives of spinors have been examined and geometric interpretations of these spinor equations have been given. Then, spinor equations have been obtained in case the successive curves are helices. Consequently, two examples have been given. |
| first_indexed | 2024-03-08T12:42:19Z |
| format | Article |
| id | doaj.art-4ad06c170e3447589a0e1bab6b9e6f26 |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-03-08T12:42:19Z |
| publishDate | 2022-03-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-4ad06c170e3447589a0e1bab6b9e6f262024-01-21T08:52:05ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532022-03-0151324110.32323/ujma.10700291225Spinor Equations of Successor CurvesHilal Köse Öztaş0Tülay Erişir1ERZINCAN BINALI YILDIRIM UNIVERSITYERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİThe aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the spinor representations of a curve with unit speed and a successor curve with the same arc length parameter as this curve has been studied. For this, first of all, the curve with unit speed and its successor curve have been corresponded to two different spinors. Then, using the relationships between these curves, the relationships between the spinors corresponding to these curves have been given. Therefore, geometric interpretations of these curves and corresponding spinors have been made. In addition, different spinor equations of the mates and derivatives of spinors have been examined and geometric interpretations of these spinor equations have been given. Then, spinor equations have been obtained in case the successive curves are helices. Consequently, two examples have been given.https://dergipark.org.tr/tr/download/article-file/2240107spinorseuclidean spacesuccessor curve |
| spellingShingle | Hilal Köse Öztaş Tülay Erişir Spinor Equations of Successor Curves Universal Journal of Mathematics and Applications spinors euclidean space successor curve |
| title | Spinor Equations of Successor Curves |
| title_full | Spinor Equations of Successor Curves |
| title_fullStr | Spinor Equations of Successor Curves |
| title_full_unstemmed | Spinor Equations of Successor Curves |
| title_short | Spinor Equations of Successor Curves |
| title_sort | spinor equations of successor curves |
| topic | spinors euclidean space successor curve |
| url | https://dergipark.org.tr/tr/download/article-file/2240107 |
| work_keys_str_mv | AT hilalkoseoztas spinorequationsofsuccessorcurves AT tulayerisir spinorequationsofsuccessorcurves |