Univalent harmonic mappings and lift to the minimal surfaces

DOI10.1134/S1995080219090099zbMath1433.30001arXiv1508.00199OpenAlexW2978925903WikidataQ127216438 ScholiaQ127216438MaRDI QIDQ2287661

Zhi-Hong Liu, Saminathan Ponnusamy, Yue Ping Jiang

Publication date: 21 January 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00199

zbMATH Keywords

minimal surfacesharmonic univalent mappingsdomains which are convex in horizontal direction

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Monogenic and polygenic functions of one complex variable (30A05)

Related Items

Geometry of two-dimensional surfaces in space \(^2\mathbb{R}_5 \), Normality of the $p$-harmonic and $\log$-$p$-harmonic mappings

Uses Software

• Mathematica
• DLMF

Cites Work

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• Harmonic univalent functions
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• The Minimal Surfaces Over the Slanted Half-Planes, Vertical Strips and Single Slit
• Harmonic close-to-convex functions and minimal surfaces