Generalized elastic curves in the Lorentz flat space \(L^4\)

DOI10.1007/S10483-009-0914-XzbMath1182.53059OpenAlexW2046696622MaRDI QIDQ1047269

Dong-hu Shang, Rong-pei Huang

Publication date: 4 January 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0914-x

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Differential geometric aspects of harmonic maps (53C43) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Existence theories for free problems in one independent variable (49J05)

Related Items (3)

Generalized elastic line deformed on a nonnull surface by an external field in the 3-dimensional semi-Euclidean space \(\mathbb{E}_{1}^{3}\) ⋮ Unnamed Item ⋮ Hyperelastic Curves in 3-dimensional Lightlike Cone

Cites Work

• Unnamed Item
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• A note on the \(p\)-elastica in a constant sectional curvature manifold
• The total squared curvature of closed curves
• Curve-straightening in Riemannian manifolds
• Explicit elastic curves
• Particles with curvature and torsion in three-dimensional pseudo-Riemannian space forms
• Lagrangian Aspects of the Kirchhoff Elastic Rod

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