Elastic curves with constant curvature at rest in the hyperbolic plane

DOI10.1016/j.geomphys.2011.04.006zbMath1238.49057OpenAlexW2019139767MaRDI QIDQ719389

José J. Mencía, Óscar J. Garay, Josu Arroyo

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.04.006

zbMATH Keywords

Euler-Lagrange equationsenergy functionalgeneralized elastic curves

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Global submanifolds (53C40) Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04)

Related Items (3)

Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers ⋮ Elastic Sturmian spirals in the Lorentz-Minkowski plane ⋮ The Euler-Helfrich functional

Cites Work

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• Extremals of curvature energy actions on spherical closed curves
• The total squared curvature of closed curves
• Hopf tori in \(S^ 3\)
• Closed generalized elastic curves in \({\mathbf S}^{2}\)(1).
• The Hopf fibration --- seven times in physics
• Classical dynamics of the rigid string from the Willmore functional
• Boundary value problems for variational integrals involving surface curvatures
• Elastic circles in 2-spheres
• Knotted Elastic Curves in R ³
• Curve-straightening and the Palais-Smale condition
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• Hamiltonians for curves
• Conformal tension in string theories and M-theory

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