Density Estimates for Compact Surfaces with Total Boundary Curvature Less Than 4π

DOI10.1080/03605302.2012.686550zbMath1257.53009arXiv1105.1972OpenAlexW1992636350MaRDI QIDQ4902752

Theodora Bourni, Giuseppe Tinaglia

Publication date: 17 January 2013

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1972

zbMATH Keywords

mean curvaturedensity estimatesembeddednessmonotonicity formula

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• Unnamed Item
• Embedded minimal surfaces and total curvature of curves in a manifold
• Embeddedness of minimal surfaces with total boundary curvature at most \(4\pi\)
• Removability of point singularities of Willmore surfaces
• Curvature estimates for minimal surfaces with total boundary curvature less than 4$\pi $
• Elliptic Partial Differential Equations of Second Order

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