Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$
Abstract Equiform geometry is considered as a generalization of the other geometries. In this paper, involute and evolute curves are studied in the case of the curve α is an equiform spacelike with a timelike equiform principal normal vector N. Furthermore, the equiform frames of the involute and ev...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-05-01
|
| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s42787-020-00086-4 |
| _version_ | 1818144018999017472 |
|---|---|
| author | A. Elsharkawy |
| author_facet | A. Elsharkawy |
| author_sort | A. Elsharkawy |
| collection | DOAJ |
| description | Abstract Equiform geometry is considered as a generalization of the other geometries. In this paper, involute and evolute curves are studied in the case of the curve α is an equiform spacelike with a timelike equiform principal normal vector N. Furthermore, the equiform frames of the involute and evolute curves are obtained. Also, the equiform curvatures of the involute and evolute curves are obtained in Minkowski 3-space. |
| first_indexed | 2024-12-11T11:40:54Z |
| format | Article |
| id | doaj.art-40bed233148342f99ac73c457a779ff5 |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-12-11T11:40:54Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-40bed233148342f99ac73c457a779ff52022-12-22T01:08:37ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282020-05-0128111010.1186/s42787-020-00086-4Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$A. Elsharkawy0Mathematics Department, Faculty of Science Tanta UniversityAbstract Equiform geometry is considered as a generalization of the other geometries. In this paper, involute and evolute curves are studied in the case of the curve α is an equiform spacelike with a timelike equiform principal normal vector N. Furthermore, the equiform frames of the involute and evolute curves are obtained. Also, the equiform curvatures of the involute and evolute curves are obtained in Minkowski 3-space.http://link.springer.com/article/10.1186/s42787-020-00086-4Minkowski 3-spaceInvoluteEvoluteEquiform geometryEquiform curvatures |
| spellingShingle | A. Elsharkawy Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$ Journal of the Egyptian Mathematical Society Minkowski 3-space Involute Evolute Equiform geometry Equiform curvatures |
| title | Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$ |
| title_full | Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$ |
| title_fullStr | Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$ |
| title_full_unstemmed | Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$ |
| title_short | Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$ |
| title_sort | generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in e 1 3 e 1 3 |
| topic | Minkowski 3-space Involute Evolute Equiform geometry Equiform curvatures |
| url | http://link.springer.com/article/10.1186/s42787-020-00086-4 |
| work_keys_str_mv | AT aelsharkawy generalizedinvoluteandevolutecurvesofequiformspacelikecurveswithatimelikeequiformprincipalnormaline13e13 |