Some Structure Theorems for Complete constant Mean Curvature Surfaces with Boundary a Convex Curve

DOI10.2307/2048783zbMath0748.53003OpenAlexW4237863575MaRDI QIDQ3983083

Ricardo Sa Earp, Harold Rosenberg

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.2307/2048783

zbMATH Keywords

symmetries of surfacesreflection technique

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (3)

A note on \(H\)-surfaces with boundary ⋮ Uniqueness of \(H\)-surfaces in \(\mathbb H^2 \times \mathbb R\), \(|H|\leq 1/2\), with boundary one or two parallel horizontal circles ⋮ The geometry of properly embedded special surfaces in \(\mathbb{R}^ 3\); e.g., surfaces satisfying \(aH+bK=1\), where \(a\) and \(b\) are positive

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