Curvature estimates for minimal surfaces with total boundary curvature less than 4$\pi $

DOI10.1090/S0002-9939-09-09810-4zbMath1169.53008arXiv0712.1500MaRDI QIDQ3631853

Giuseppe Tinaglia

Publication date: 22 June 2009

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

Full work available at URL: https://arxiv.org/abs/0712.1500

zbMATH Keywords

minimal surfacessurfaces with prescribed mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (4)

Density Estimates for Compact Surfaces with Total Boundary Curvature Less Than 4π ⋮ Curvature estimates for constant mean curvature surfaces ⋮ The classical theory of minimal surfaces ⋮ Curvature estimates for surfaces with bounded mean curvature

Cites Work

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• The existence of embedded minimal surfaces and the problem of uniqueness
• Embeddedness of minimal surfaces with total boundary curvature at most \(4\pi\)
• A proof of the regularity everywhere of the classical solution to Plateau's problem
• Concerning my paper on the boundary behavior of minimal surfaces
• On the total curvature of knots
• Solution of the Problem of Plateau
• Sur la courbure totale d'une courbe gauche faisant un nœud

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