On Heinz-type inequality for the half-plane and Gaussian curvature of minimal surfaces

DOI10.1090/PROC/14852zbMath1434.53008arXiv1901.06642OpenAlexW2982653300WikidataQ126860640 ScholiaQ126860640MaRDI QIDQ5218220

David Kalaj

Publication date: 2 March 2020

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

Full work available at URL: https://arxiv.org/abs/1901.06642

zbMATH Keywords

minimal surfacesharmonic mappingssubharmonic functions

Mathematics Subject Classification ID

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

Related Items (1)

Gaussian curvature of minimal surface over a wedge

Cites Work

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• On one-to-one harmonic mappings
• On an inequality of E. Heinz
• A sharp inequality for harmonic diffeomorphisms of the unit disk
• On the Gauss curvature of non-parametric minimal surfaces
• Harmonic Function Theory
• Harmonic Mappings onto Convex Domains
• The Gaussian curvature of minimal surfaces and Heinz' constant
• On Harmonic Diffeomorphisms of the Unit Disc onto a Convex Domain

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