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Candidates for non-rectangular constrained Willmore minimizers - MaRDI portal

Candidates for non-rectangular constrained Willmore minimizers (Q2032680)

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Language	Label	Description	Also known as
English	Candidates for non-rectangular constrained Willmore minimizers	scientific article

Statements

scholarly article

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Candidates for non-rectangular constrained Willmore minimizers (English)

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Cheikh Birahim Ndiaye

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Journal of Geometry and Physics

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publication date

14 June 2021

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full work available at URL

https://arxiv.org/abs/1902.09572

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zbMATH Keywords

Willmore energy

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Willmore functional

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penalized Willmore stability operator

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spectral curve

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MaRDI profile type

MaRDI publication profile

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Constrained Willmore tori in the 4-sphere

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Conformal maps from a 2-torus to the 4-sphere

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The spectral curve of a quaternionic holomorphic line bundle over a 2-torus

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A duality theorem for Willmore surfaces

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Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data

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Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic \(2\)-tori.

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S\({}^ 1\)-equivariant minimal tori in \(S^ 4\) and \(S^ 1\)-equivariant Willmore tori in \(S^ 3\)

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Constrained Willmore tori and elastic curves in 2-dimensional space forms

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Equivariant constrained Willmore tori in the 3-sphere

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Towards a constrained Willmore conjecture

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On stability of equivariant minimal tori in the 3-sphere

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Flows of constant mean curvature tori in the 3-sphere: the equivariant case

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\(W^{2,2}\)-conformal immersions of a closed Riemann surface into \(\mathbb{R}^n\)

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On the stability of the CMC Clifford tori as constrained Willmore surfaces

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Minimizers of the Willmore functional under fixed conformal class

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A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

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Min-max theory and the Willmore conjecture

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Willmore spheres in compact Riemannian manifolds

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Minimal immersions of surfaces by the first eigenfunctions and conformal area

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Explicit conformally constrained Willmore minimizers in arbitrary codimension

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New examples of conformally constrained Willmore minimizers of explicit type

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Hopf tori in \(S^ 3\)

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Analysis aspects of Willmore surfaces

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Variational principles for immersed surfaces with \(L^2\)-bounded second fundamental form

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The Willmore conjecture in the real projective space

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Conformally constrained Willmore immersions

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Existence of surfaces minimizing the Willmore functional

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Towards the Willmore conjecture

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.GEOMPHYS.2021.104221

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Sitelinks

Mathematics(1 entry)

mardi Publication:2032680

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