A variational characterization and geometric integration for Bertrand curves

DOI10.1063/1.4800767zbMath1283.53012OpenAlexW1963885327MaRDI QIDQ5397797

José Antonio Ortega-Yagües, Pascual Lucas

Publication date: 24 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4800767

zbMATH Keywords

constant curvatureconstant torsionDarboux vector fieldLancret curves

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

New approach to timelike Bertrand curves in 3-dimensional Minkowski space ⋮ On rectifying curves in Euclidean 3-space ⋮ Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space

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