A natural Frenet frame for null curves on the lightlike cone in Minkowski space \(\mathbb{R}^4_2 \)

DOI10.1186/s13660-020-02500-yzbMath1503.53004OpenAlexW3095129178WikidataQ126094618 ScholiaQ126094618MaRDI QIDQ2069577

Ilgin Sağer, Yusuf Yayli, Nemat Abazari, Alireza Sedaghatdoost, Martin J. Bohner

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02500-y

zbMATH Keywords

helixnull curveconstant curvature functionlightlike conenatural Frenet frame

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Gaussian surfaces and nullcone dual surfaces of null curves in a three-dimensional nullcone with index 2
• Stationary acceleration of Frenet curves
• Representation formulas of curves in a two- and three-dimensional lightlike cone
• Curves of AW\((k)\)-type in 3-dimensional null cone
• Curves in the lightlike cone
• NULL HELICES IN LORENTZIAN SPACE FORMS
• Some new properties of null curves on 3-null cone and unit semi-Euclidean 3-spheres
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂

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