An inequality of isoperimetric type for surfaces of constant mean curvature

DOI10.1007/BF00247758zbMath0176.51602MaRDI QIDQ2534097

Erhard Heinz

Publication date: 1969

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items (16)

Nonuniqueness in the Plateau problem for surfaces of constant mean curvature ⋮ Ein Eindeutigkeitssatz für Flächen konstanter mittlerer Krümmung ⋮ Large solutions to the volume constrained Plateau problem ⋮ How to blow infinitely large soap bubbles with a fixed boundary ⋮ Quasiconformal harmonic mappings between \(C^{1,\mu}\) Euclidean surfaces ⋮ Zur Struktur der Lösungsmenge des Plateauproblems ⋮ Professor Dr. Dr.h.c. Erhard Heinz (1924--2017) in memoriam ⋮ On immersions of constant mean curvature: Compactness results and finiteness theorems for Plateau's problem ⋮ Über Flächen konstanter mittlerer Krümmung ⋮ On the nonexistence of a surface of constant mean curvature with finite area and prescribed rectifiable boundary ⋮ On surfaces of constant mean curvature with polygonal boundaries ⋮ Remarks on results of Heinz concerning the continuity of total variations ⋮ Unstable surfaces of constant mean curvature ⋮ Isoperimetric inequality and the Gauss-Bonnet-formula for H-planes in Riemannian manifolds ⋮ Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt ⋮ H-surface index formula

Cites Work

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• Das Problem von Douglas für Flächen konstanter mittlerer Krümmung
• Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung
• On new results in the theory of minimal surfaces

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