A criterion for reduction of variables in the Willmore-Chen variational problem and its applications
From MaRDI portal
Publication:4955719
DOI10.1090/S0002-9947-00-02366-7zbMath1039.53060OpenAlexW1858061254MaRDI QIDQ4955719
Angel Ferrández, Manuel Barros, Pascual Lucas, Miguel Angel Meroño
Publication date: 22 May 2000
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02366-7
Related Items
Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Relativistic particles and the geometry of 4-D null curves ⋮ Some Variational Problems on Curves and Applications ⋮ Equivariant Willmore surfaces in conformal homogeneous three spaces ⋮ Conformal tension in string theories and M-theory ⋮ Geometric integration of the Betchov-Da Rios equation in a gravity-electromagnetism unified model ⋮ Elasticity and conformal tension via the Kaluza-Klein mechanism ⋮ Bosonic string theory in Lorentzian principal circle bundles over anti-de-Sitter space \(\text{AdS}_3\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The principle of symmetric criticality
- The total squared curvature of closed curves
- Hopf tori in \(S^ 3\)
- Hopf submanifolds in \(S^7\) which are Willmore-Chen submanifolds
- Fat bundles and symplectic manifolds
- Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces
- Stationary 2-type surfaces in a hypersphere
- Einstein metrics on principal fibre bundles
- On a generalization of a method of Bellman and Latter for obtaining eigenvalue bounds for integral operators
- Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
- New properties and examples of incomplete Lorentzian tori
- Willmore tori in non-standard 3-spheres
- Free Elastic Parallels in a Surface of Revolution
