Slant helices: a new approximation
| العنوان: | Slant helices: a new approximation |
|---|---|
| المؤلفون: | José Antonio Ortega-Yagües, Pascual Lucas |
| المساهمون: | Departamento de Matemáticas, Facultad de Matemáticas |
| المصدر: | Volume: 43, Issue: 1 473-485 Turkish Journal of Mathematics DIGITUM: Depósito Digital Institucional de la Universidad de Murcia Universidad de Murcia DIGITUM. Depósito Digital Institucional de la Universidad de Murcia instname |
| بيانات النشر: | TÜBİTAK, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Pure mathematics, Quantitative Biology::Biomolecules, Euclidean space, pseudo-null curve, General Mathematics, Mathematics::History and Overview, Slant helix,Killing vector field,pseudo-null curve,null curve,Frenet curve, null curve, Curvature, Computer Science::Computers and Society, Killing vector field, Frenet curve, Computer Science::Computer Vision and Pattern Recognition, Helix, Minkowski space, Converse, Family of curves, Torsion (algebra), 5 - Ciencias puras y naturales::51 - Matemáticas::514 - Geometría [CDU], Mathematics::Differential Geometry, Slant helix, Mathematics |
| الوصف: | In this paper, we study a weaker version of classic slant helices in Euclidean space R 3 " role="presentation"> ℝ 3 R 3 \mathbb{R}^3 or Minkowski space R 1 3 " role="presentation"> ℝ 3 1 R 1 3 \mathbb{R}^3_1 , which will be called general slant helices. We show that any classic slant helix is a general slant helix but the converse is not true. We also obtain equations involving the curvature and torsion that characterize this family of curves. |
| وصف الملف: | application/pdf |
| تدمد: | 1300-0098 1303-6149 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e10b6b79f050430225551ade5a5c2e5 https://dergipark.org.tr/tr/pub/tbtkmath/issue/45653/575277 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....6e10b6b79f050430225551ade5a5c2e5 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 13000098 13036149 |
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