Diameter bounds for convex surfaces with pinched mean curvature

DOI10.1007/BF02567975zbMath0821.53004MaRDI QIDQ1344926

Urs Lang

Publication date: 20 February 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156035

zbMATH Keywords

diametermean curvatureDelaunay surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Inequalities and extremum problems involving convexity in convex geometry (52A40) Global Riemannian geometry, including pinching (53C20) Surfaces in Euclidean and related spaces (53A05)

Related Items (2)

Quantitative estimates for almost constant mean curvature hypersurfaces ⋮ Curvature measures and stability

Cites Work

• Unnamed Item
• A stability estimate for the Aleksandrov-Fenchel inequality, with an application to mean curvature
• The surfaces of Delaunay
• Convex surfaces with bounded mean curvature
• Compact convex bodies with one curvature measure near the surface measure.

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