Optimal rigidity estimates for varifolds almost minimizing the Willmore energy

DOI10.1090/tran/9342MaRDI QIDQ6664332

Yuchen Bi, Jie Zhou

Publication date: 16 January 2025

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

varifoldWillmore energyquantitative rigidity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational problems in a geometric measure-theoretic setting (49Q20)

Cites Work

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• Compensated compactness and Hardy spaces
• Existence of surfaces minimizing the Willmore functional
• On surfaces of finite total curvature
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• A \(C^{0}\) estimate for nearly umbilical surfaces
• The large genus limit of the infimum of the Willmore energy
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Topology of Surfaces with Finite Willmore Energy

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