K-type slant helices on spacelike and timelike surfaces

DOI10.12697/ACUTM.2021.25.14zbMath1487.53019MaRDI QIDQ5061866

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Publication date: 14 March 2022

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

space-like surfaceDarboux framespace-like curvespace-like slant helices

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• On \(k\)-type pseudo null Darboux helices in Minkowski 3-space
• The Frenet and Darboux instantaneous rotation vectors for curves on space-like surface
• Relation between Darboux instantaneous rotation vectors of curves on a time-like surface
• Position vectors of slant helices in Euclidean 3-space
• Position vector of a time-like slant helix in Minkowski 3-space
• On slant helix and its spherical indicatrix
• $k-$type partially null and pseudo null slant helices in Minkowski 4-space
• SLANT HELICES IN MINKOWSKI SPACE E₁³
• General helices and a theorem of Lancret
• On k-type spacelike slant helices lying on lightlike surfaces

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