Zum Drehvorgang der Darboux-Achse einer Raumkurve

Barthel, Woldemar

doi:10.1007/bf01228048

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2004

2023

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Cited by 6 publications

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“…The angular velocity vector of a space curve's Frenet frame is known as the Darboux vector. In [1] and [3], an iterative method was proposed for the relevant Darboux axis rotation motions for Frenet curves, resulting in a series of Darboux vectors. Yücesan and Tükel [14] offer a more comprehensive perspective on the Darboux type vector of the Frenet-type frame for framed base curves that might contain singular points and derive a series of Darboux vectors.…”

Section: Introductionmentioning

confidence: 99%

Adapted Frame and Darboux Type Vector of Spacelike Framed Curves

2023

Proceeding Book of 4th International Conference on Engineering and Applied Natural Sciences ICEANS 2023

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In Minkowski 3-space, spacelike curves, which are among the various types of curves, may exhibit singularities. In [6], the notion of the framed curve has been extended to Minkowski 3-space for curves with such singularities, and the notation "spacelike framed curve" is employed. This research thoroughly examines spacelike framed curves and their curvatures. Furthermore, we define the Darboux type vector for spacelike framed curves and present a theorem that describes a series of Darboux type vectors using an iterative method.

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Section: Introductionmentioning

confidence: 99%