Rectifying curves in the three-dimensional sphere
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Publication:743241
DOI10.1016/j.jmaa.2014.07.079zbMath1301.53012OpenAlexW1988992822WikidataQ125976315 ScholiaQ125976315MaRDI QIDQ743241
José Antonio Ortega-Yagües, Pascual Lucas
Publication date: 23 September 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.079
Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Non-Euclidean differential geometry (53A35)
Related Items (13)
Rectifying curves in the three-dimensional hyperbolic space ⋮ Characterization of curves that Lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere ⋮ Unnamed Item ⋮ The equations and characteristics of the magnetic curves in the sphere space ⋮ Concircular hypersurfaces and concircular helices in space forms ⋮ Curves orthogonal to a vector field in Euclidean spaces ⋮ Rectifying curves in the $n$-dimensional Euclidean space ⋮ Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space ⋮ Topics in differential geometry associated with position vector fields on Euclidean submanifolds ⋮ The development of rectifying submanifolds ⋮ Unnamed Item ⋮ Some characterization of curves in \(\widetilde{\mathbf{SL}_2\mathbb{R}}\) space ⋮ A new aspect of rectifying curves and ruled surfaces in Galilean 3-space
Cites Work
- 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?
- Riemannian geometry.
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