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Decomposition of the Darboux rotation into two plane rotations

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Publication:686653
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DOI10.1007/BF01223802zbMath0782.53002MaRDI QIDQ686653

Johann Hartl

Publication date: 13 October 1993

Published in: Journal of Geometry (Search for Journal in Brave)


zbMATH Keywords

Frenet frameDarboux rotationFrenet curve


Mathematics Subject Classification ID

Differential geometric aspects in kinematics (53A17) Curves in Euclidean and related spaces (53A04)


Related Items (3)

On the Darboux rotation axis of Lorentz space curve ⋮ Some characterizations of pseudo null isophotic curves in Minkowski 3-space ⋮ On the rotation of the Darboux axis of a space curve




Cites Work

  • Notwendige und hinreichende Bedingungen dafür, daß eine Raumkurve geschlossen ist
  • Über direkt integrierbare Kurven und strenge Böschungskurven im \(R^ n \)sowie geschlossene verallgemeinerte Hyperkreise
  • Conditions for polygonal lines and polyhedra in \(E^ 3\) to be closed
  • A Differential-Geometric Criterion for a Space Curve to be Closed
  • On the differential geometry of closed space curves




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