Intrinsic formulation for elastic line deformed on a surface by external field in the Minkowski 3-space \(\mathbb E_{1}^{3}\)

DOI10.1016/J.JMAA.2006.05.017zbMath1104.53003OpenAlexW2023593581MaRDI QIDQ860645

Nevin Gürbüz

Publication date: 9 January 2007

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.2006.05.017

zbMATH Keywords

variational problemMinkowski 3-spaceelastic lines

Mathematics Subject Classification ID

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

Related Items (2)

Generalized elastic line deformed on a nonnull surface by an external field in the 3-dimensional semi-Euclidean space \(\mathbb{E}_{1}^{3}\) ⋮ Three classes of non-lightlike curve evolution according to Darboux frame and geometric phase

Cites Work

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• The Frenet and Darboux instantaneous rotation vectors of curves on time-like surface
• The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space

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