Complete Laguerre minimal surfaces in \(\mathbb R^3\)

DOI10.1016/j.na.2013.06.015zbMath1308.53019OpenAlexW2059032991MaRDI QIDQ2254287

Juan A. Aledo, Victorino Lozano, José A. Gálvez

Publication date: 4 February 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.06.015

zbMATH Keywords

conformal representationBjörling problemcomplete Laguerre minimal surfacesflat Laguerre minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (2)

A class of surfaces related to a problem posed by Élie Cartan ⋮ Generalized spherical type hypersurfaces

Cites Work

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• Embedded isolated singularities of flat surfaces in hyperbolic 3-space
• Laguerre minimal surfaces via congruence of lines
• On Special W-Surfaces
• The Cauchy problem for improper affine spheres and the Hessian one equation
• L-isothermic and L-minimal surfaces
• A variational problem for surfaces in Laguerre geometry

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