Biharmonic maps and Laguerre minimal surfaces

DOI10.1155/2013/843156zbMath1275.53013OpenAlexW1987114063WikidataQ58917591 ScholiaQ58917591MaRDI QIDQ370260

Yusuf Abu Muhanna, Rosihan Mohamed Ali

Publication date: 19 September 2013

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

Full work available at URL: https://doi.org/10.1155/2013/843156

zbMATH Keywords

estimates of Gaussian curvatureisotropic mapLaguerre minimal surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05)

Related Items (4)

On the univalence of polyharmonic mappings ⋮ On certain harmonic mappings with some fixed coefficients ⋮ Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings ⋮ Convolution properties of some harmonic mappings in the right half-plane

Cites Work

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• Properties of some classes of planar harmonic and planar biharmonic mappings
• Coefficient estimates and Landau-Bloch's constant for planar harmonic mappings
• Landau's theorem for certain biharmonic mappings
• Laguerre minimal surfaces, isotropic geometry and linear elasticity
• A Laguerre geometric approach to rational offsets
• Landau's theorem for biharmonic mappings
• On univalent solutions of the biharmonic equation
• Landau's theorems for biharmonic mappings
• Discrete isothermic surfaces.
• Lie sphere geometry. With applications to submanifolds

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