A family of minimal surfaces and univalent planar harmonic mappings

DOI10.1155/2014/476061zbMath1476.53029OpenAlexW2025932615WikidataQ59038572 ScholiaQ59038572MaRDI QIDQ1724200

Stacey Muir, Michael Dorff

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/476061

zbMATH Keywords

curvature estimateslifting planar harmonic mappings

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometric aspects of harmonic maps (53C43)

Related Items (3)

Harmonic mappings with analytic part convex in one direction ⋮ Univalent harmonic mappings and lift to the minimal surfaces ⋮ Harmonic Univalent Mappings and Minimal Graphs

Cites Work

• Harmonic shears of regular polygons by hypergeometric functions
• Minimal surfaces over stars
• Harmonic shears of elliptic integrals
• Gauss curvature estimates for minimal graphs
• Minimal graphs in ℝ³ over convex domains
• Harmonic univalent functions
• Harmonic mappings related to Scherk's saddle-tower minimal surfaces
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