Extremals of curvature energy actions on spherical closed curves

DOI10.1016/j.geomphys.2003.10.011zbMath1084.53002OpenAlexW2051137684MaRDI QIDQ557232

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

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/j.geomphys.2003.10.011

zbMATH Keywords

energy functionalsgeneralized elastic curves

Mathematics Subject Classification ID

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

Related Items (14)

Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Elasticae in Killing submersions ⋮ Interacting charged elastic loops on a sphere ⋮ Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices ⋮ Spherical curves whose curvature depends on distance to a great circle ⋮ Extremal curves for weighted elastic energy in surfaces of 3-space forms ⋮ Kirchhoff elastic rods in three-dimensional space forms ⋮ Unit speed stationary points of the acceleration ⋮ Helices for mathematical modelling of proteins, nucleic acids and polymers ⋮ QUADRATIC CURVATURE ENERGIES IN THE 2-SPHERE ⋮ Critical curves for a Santaló problem in 3-space forms ⋮ Kirchhoff elastic rods in higher-dimensional space forms ⋮ Elastic curves with constant curvature at rest in the hyperbolic plane ⋮ GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS

Cites Work

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• Lagrangian Aspects of the Kirchhoff Elastic Rod
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