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

DOI10.4310/CAG.2014.v22.n2.a6zbMath1295.53064arXiv1303.1445MaRDI QIDQ2252677

Lynn Heller

Publication date: 22 July 2014

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1445

zbMATH Keywords

3-sphereWeierstrass elliptic functionsHopf fibrationWillmore energyelastic curvesclosing condition

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (12)

A characterization of the Ejiri torus in \(S^{5}\) ⋮ The spectral curve theory for \((k,l)\)-symmetric CMC surfaces ⋮ The Willmore flow of Hopf-tori in the 3-sphere ⋮ Closed 1/2-elasticae in the hyperbolic plane ⋮ Constrained elastic curves and surfaces with spherical curvature lines ⋮ On the convergence of the elastic flow in the hyperbolic plane ⋮ Candidates for non-rectangular constrained Willmore minimizers ⋮ First explicit constrained Willmore minimizers of non-rectangular conformal class ⋮ Isothermic constrained Willmore tori in 3-space ⋮ Generalized Whitham flow and its applications ⋮ Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions ⋮ Constrained Willmore and CMC tori in the 3-sphere

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