Rectifying curves in the three-dimensional hyperbolic space

DOI10.1007/s00009-015-0615-2zbMath1346.53054OpenAlexW990212743MaRDI QIDQ305887

José Antonio Ortega-Yagües, Pascual Lucas

Publication date: 31 August 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0615-2

zbMATH Keywords

geodesicdevelopable surfacehelixDarboux vectorrectifying curveconical surface

Mathematics Subject Classification ID

Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (6)

Characterization of curves that Lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere ⋮ Concircular hypersurfaces and concircular helices in space forms ⋮ Curves orthogonal to a vector field in Euclidean spaces ⋮ Some characterizations of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$ ⋮ Unnamed Item ⋮ A new aspect of rectifying curves and ruled surfaces in Galilean 3-space

Cites Work

• Rectifying curves in the three-dimensional sphere
• Some characterizations of null, pseudo null and partially null rectifying curves in Minkowski space-time
• A STUDY ON RECTIFYING CURVES IN THE DUAL LORENTZIAN SPACE
• General helices and a theorem of Lancret
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
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