Kirchhoff elastic rods in the three-sphere
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Publication:1885486
DOI10.2748/tmj/1113246551zbMath1063.74066OpenAlexW2020302150MaRDI QIDQ1885486
Publication date: 5 November 2004
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1113246551
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Applications of global analysis to the sciences (58Z05) Explicit solutions of equilibrium problems in solid mechanics (74G05)
Related Items (9)
Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices ⋮ Conformally flat hypersurfaces with Bianchi-type Guichard net ⋮ Kirchhoff elastic rods in three-dimensional space forms ⋮ Magnetic vortex filament flows ⋮ A new approach for magnetic curves in 3D Riemannian manifolds ⋮ Kirchhoff elastic rods in higher-dimensional space forms ⋮ Pseudo null curve variations for Bishop frame in 3D semi-Riemannian manifold ⋮ GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS
Cites Work
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- The total squared curvature of closed curves
- Hopf tori in \(S^ 3\)
- Curve-straightening in Riemannian manifolds
- Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres
- Liouville integrability of geometric variational problems
- The vortex filament equation and a semilinear Schrödinger equation in a Hermitian symmetric space
- Stability and bifurcation of circular Kirchhoff elastic rods
- Elasticae in a Riemannian submanifold
- Exterior differential systems and the calculus of variations
- Kirchhoff elastic rods in a Riemannian manifold
- Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
- [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
- A vortex filament moving without change of form
- Knot Types, Homotopies and Stability of Closed Elastic Rods
- Non-Euclidean Elastica
- Lagrangian Aspects of the Kirchhoff Elastic Rod
- A soliton on a vortex filament
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