A Helfrich functional for compact surfaces in

DOI10.1017/s0017089523000320OpenAlexW4392158999MaRDI QIDQ6200230

Zhong-Wei Yao

Publication date: 29 February 2024

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089523000320

zbMATH Keywords

Kähler angleHelfrich functionalhomogeneous tori

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05)

Cites Work

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• Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case
• A classification theorem for Helfrich surfaces
• Willmore Lagrangian spheres in the complex Euclidean space \(\mathbb C^n\)
• An energy functional for Lagrangian tori in \(\mathbb {C}P^2\)
• Rigidity and stability of spheres in the Helfrich model
• The Helfrich boundary value problem
• Existence and regularity of spheres minimising the Canham-Helfrich energy
• Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour
• Min-max theory and the Willmore conjecture
• Minimal Surfaces by Moving Frames
• A Willmore functional for compact surfaces in the complex projective plane
• The classification of the surfaces with parallel mean curvature vector in two-dimensional complex space forms
• Willmore surfaces on \(\mathbb{R}^4\) and the Whitney sphere

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