A note on the \(p\)-elastica in a constant sectional curvature manifold

DOI10.1016/S0393-0440(03)00107-4zbMath1084.53003OpenAlexW2061343095MaRDI QIDQ557212

Rong-pei Huang

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(03)00107-4

zbMATH Keywords

Killing field\(p\)-Elastic curveEvolution equation

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Local Riemannian geometry (53B20)

Related Items (8)

Structure and classification results for the ∞-elastica problem ⋮ Unnamed Item ⋮ Hyperelastic Curves in 3-dimensional Lightlike Cone ⋮ The \(\infty\)-elastica problem on a Riemannian manifold ⋮ Elastic magnetic curves of ferromagnetic and superparamagnetic models on the surface ⋮ THE CLASSICAL BERNOULLI-EULER ELASTIC CURVE IN A MANIFOLD ⋮ A new characterization for classical Bernoulli–Euler elastic curves in Rn ⋮ Generalized elastic curves in the Lorentz flat space \(L^4\)

Cites Work

• Unnamed Item
• The total squared curvature of closed curves
• Curve-straightening in Riemannian manifolds
• Hopf submanifolds in \(S^7\) which are Willmore-Chen submanifolds
• Explicit elastic curves
• The influence of elasticity on analysis: The classic heritage
• Knotted Elastic Curves in R ³
• Non-Euclidean Elastica
• Lagrangian Aspects of the Kirchhoff Elastic Rod
• A soliton on a vortex filament

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