Willmore-like energies and elastic curves with potential

DOI10.7546/GIQ-21-2020-232-241zbMath1481.53082OpenAlexW3091781901MaRDI QIDQ1980277

Álvaro Pámpano

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-21-2020-232-241

zbMATH Keywords

Willmore torielasticae with potentialWillmore-like energies

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Optimization of shapes other than minimal surfaces (49Q10) Local submanifolds (53B25)

Cites Work

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• On the classification of Killing submersions and their isometries
• The principle of symmetric criticality
• Extremals of the generalized Euler-Bernoulli energy and applications
• Hopf tori in \(S^ 3\)
• Willmore-like tori in Killing submersions
• The many faces of elastica
• Min-max theory and the Willmore conjecture
• Willmore tori in non-standard 3-spheres
• Some examples of critical points for the total mean curvature functional

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