Willmore-like tori in Killing submersions
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Publication:1629212
DOI10.1155/2018/4652516zbMath1403.53047OpenAlexW2807719533WikidataQ124818084 ScholiaQ124818084MaRDI QIDQ1629212
Óscar J. Garay, Álvaro Pámpano, Manuel Barros
Publication date: 11 December 2018
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/4652516
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10)
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Cites Work
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- Locally convex surfaces immersed in a Killing submersion
- On the classification of Killing submersions and their isometries
- The principle of symmetric criticality
- S\({}^ 1\)-equivariant minimal tori in \(S^ 4\) and \(S^ 1\)-equivariant Willmore tori in \(S^ 3\)
- The total squared curvature of closed curves
- A duality theorem for Willmore surfaces
- Isometric immersions into 3-dimensional homogeneous manifolds
- Rotational surfaces in \({\mathbb{L}^3}\) and solutions of the nonlinear sigma model
- Hopf tori in \(S^ 3\)
- The Willmore conjecture in the real projective space
- On the Lambert \(w\) function
- Stationary 2-type surfaces in a hypersphere
- Towards the Willmore conjecture
- A geometric algorithm to construct new solitons in the \(O(3)\) nonlinear sigma model
- Equivariant Willmore surfaces in conformal homogeneous three spaces
- Min-max theory and the Willmore conjecture
- The fundamental equations of a submersion
- Boundary value problems for variational integrals involving surface curvatures
- Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
- Willmore tori in non-standard 3-spheres
- Willmore two-spheres in the four-sphere
- A Global Invariant of Conformal Mappings in Space
- Willmore surfaces on \(\mathbb{R}^4\) and the Whitney sphere