Explicit formulas, symmetry and symmetry breaking for Willmore surfaces of revolution

DOI10.1007/s10455-018-9598-0zbMath1402.53002arXiv1705.02177OpenAlexW2759779892MaRDI QIDQ1994066

Rainer Mandel

Publication date: 1 November 2018

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02177

zbMATH Keywords

symmetrysymmetry breakingexplicit formulasWillmore surfaces of revolutionWillmore boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Optimization of shapes other than minimal surfaces (49Q10) Surfaces in Euclidean and related spaces (53A05)

Related Items (8)

Connected surfaces with boundary minimizing the Willmore energy ⋮ Willmore Obstacle Problems under Dirichlet Boundary Conditions ⋮ The Willmore flow of Hopf-tori in the 3-sphere ⋮ Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour ⋮ On the convergence of the elastic flow in the hyperbolic plane ⋮ Elastic curves and phase transitions ⋮ The critical points of the elastic energy among curves pinned at endpoints ⋮ On the Plateau–Douglas problem for the Willmore energy of surfaces with planar boundary curves

Cites Work

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