Time-like Salkowski and anti-Salkowski curves in Minkowski space $\e_1^3$

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dc.creatorAli, Ahmad T
dc.date2009-05-09
dc.date.accessioned2026-07-07T13:13:32Z
dc.date.available2026-07-07T13:13:32Z
dc.descriptionSalkowski \cite{salkow}, one century ago, introduced a family of curves with constant curvature but non-constant torsion (Salkowski curves) and a family of curves with constant torsion but non-constant curvature (anti-Salkowski curves) in Euclidean 3-space $\e^3$. In this paper, we adapt definition of such curves to time-like curves in Minkowski 3-space $\e_1^3$. Thereafter, we introduce an explicit parametrization of a time-like Salkowski curves and a time-like Anti-Salkowski curves in Minkowski space $\e_1^3$. Also, we characterize them as space curve with constant curvature or constant torsion and whose normal vector makes a constant angle with a fixed line.
dc.description9 pages only
dc.identifierhttps://arxiv.org/abs/0905.1404
dc.identifierhttp://arxiv.org/abs/0905.1404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229917
dc.subjectDifferential Geometry
dc.subject53C40, 53C50
dc.titleTime-like Salkowski and anti-Salkowski curves in Minkowski space $\e_1^3$
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