Generalized osculating curves of type (n-3) in the n-dimensional Euclidean space

DOI10.31801/cfsuasmas.845845zbMath1495.53009OpenAlexW4214581399WikidataQ114038440 ScholiaQ114038440MaRDI QIDQ5083846

Özcan Bektaş, Zafer Bekiryazici

Publication date: 21 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.845845

zbMATH Keywords

curvatureshigher-order linear differential equationosculating curveunit-speed curve

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Explicit solutions, first integrals of ordinary differential equations (34A05) Curves in Euclidean and related spaces (53A04)

Cites Work

• Osculating curves in 4-dimensional semi-Euclidean space with index 2
• Timelike and null normal curves in Minkowski space \(\mathbb{E}_1^3\)
• Some characterizations of null osculating curves in the Minkowski space-time
• SOME CHARACTERIZATIONS OF OSCULATING CURVES IN THE EUCLIDEAN SPACES
• 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 $\mathbb{R}_{2}^{5}$
• Quaternionic osculating curves in Euclidean and semi-Euclidean space
• On osculating, normal and rectifying bi-null curves in ℝ⁶₃
• Higher Curvatures of Curves in Euclidean Space
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