Mappings that transform helices from Euclidean space to Minkowski space

DOI10.15672/hujms.915138OpenAlexW4280491958WikidataQ114051797 ScholiaQ114051797MaRDI QIDQ5870933

Levent Kula, Hasan Altínbaş, Bülent Altunkaya, Mahmut Mak

Publication date: 24 January 2023

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.915138

zbMATH Keywords

mappinginvariantshelix

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Harmonic curvatures and generalized helices in \(\mathbb{E}^n\)
• On polynomial general helices in \(n\)-dimensional Euclidean space \(\mathbb {R}^{n}\)
• High accuracy approximation of helices by quintic curves
• BERTRAND CURVES IN NON-FLAT 3-DIMENSIONAL (RIEMANNIAN OR LORENTZIAN) SPACE FORMS
• Helix preserving mappings
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• Higher Curvatures of Curves in Euclidean Space
• General helices in the three-dimensional Lorentzian space forms
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