QUADRATIC CURVATURE ENERGIES IN THE 2-SPHERE
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Publication:3564916
DOI10.1017/S0004972709001142zbMath1193.53098OpenAlexW2084534833MaRDI QIDQ3564916
Óscar J. Garay, Jose Mencía, Josu Arroyo
Publication date: 26 May 2010
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0004972709001142
Classical linear elasticity (74B05) Variational principles in infinite-dimensional spaces (58E30) Global Riemannian geometry, including pinching (53C20) Lagrange's equations (70H03)
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Cites Work
- Massless particle with rigidity as a model for the description of bosons and fermions
- Extremals of curvature energy actions on spherical closed curves
- Kirchhoff elastic rods in three-dimensional space forms
- Curve-straightening in Riemannian manifolds
- Closed generalized elastic curves in \({\mathbf S}^{2}\)(1).
- Elastic circles in 2-spheres
- Knotted Elastic Curves in R 3
- [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
- Curve-straightening and the Palais-Smale condition
- Some examples of critical points for the total mean curvature functional
- Non-Euclidean Elastica
- Elastica in SO(3)
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