Kirchhoff elastic rods in three-dimensional space forms
From MaRDI portal
Publication:930636
DOI10.2969/JMSJ/06020551zbMath1142.58012OpenAlexW2038994643MaRDI QIDQ930636
Publication date: 1 July 2008
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/06020551
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Explicit solutions of equilibrium problems in solid mechanics (74G05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Related Items (9)
Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra ⋮ Elasticae in Killing submersions ⋮ Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices ⋮ Extremal curves for weighted elastic energy in surfaces of 3-space forms ⋮ QUADRATIC CURVATURE ENERGIES IN THE 2-SPHERE ⋮ Kirchhoff elastic rods in higher-dimensional space forms ⋮ Soliton curves in three-dimensional space forms ⋮ GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extremals of curvature energy actions on spherical closed curves
- The total squared curvature of closed curves
- Hopf tori in \(S^ 3\)
- Recursion in curve geometry
- Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres
- Liouville integrability of geometric variational problems
- Stability and bifurcation of circular Kirchhoff elastic rods
- Elasticae in a Riemannian submanifold
- Kirchhoff elastic rods in the three-sphere
- Integrable Hamiltonian systems on Lie groups: Kowalewski type
- Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
- Knotted Elastic Curves in R 3
- [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
- Towards a classification of Euler–Kirchhoff filaments
- Non-Euclidean Elastica
- Lagrangian Aspects of the Kirchhoff Elastic Rod
- Integrable Hamiltonian systems on complex Lie groups
- The geometry of Minkowski spacetime. An introduction to the mathematics of the special theory of relativity
- Nonlinear problems of elasticity
This page was built for publication: Kirchhoff elastic rods in three-dimensional space forms
