Normal curves in \(n\)-dimensional Euclidean space

DOI10.1186/S13662-018-1922-2zbMath1448.53005OpenAlexW2905449591WikidataQ128701242 ScholiaQ128701242MaRDI QIDQ1716345

Özcan Bektaş

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1922-2

zbMATH Keywords

explicit solutionscurvaturesposition vectornormal curve

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35)

Related Items (1)

On normal curves and their characterizations in Lorentzian \(n\)-space

Cites Work

• Timelike and null normal curves in Minkowski space \(\mathbb{E}_1^3\)
• Spacelike and timelike normal curves in Minkowski space-time
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• Rectifying curves in the $n$-dimensional Euclidean space
• On osculating, normal and rectifying bi-null curves in $\mathbb{R}_{2}^{5}$
• On osculating, normal and rectifying bi-null curves in ℝ⁶₃
• Higher Curvatures of Curves in Euclidean Space
• Explicit Characterization of Spherical Curves
• On an Explicit Characterization of Spherical Curves
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