Laguerre minimal surfaces in \(\mathbb R^{3}\)

DOI10.1007/s10114-008-7117-0zbMath1178.53065OpenAlexW2059128722MaRDI QIDQ960614

Chang Ping Wang, Yu Ping Song

Publication date: 5 January 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-7117-0

zbMATH Keywords

Liouville equationWeierstrass representationLaguerre minimal surfaceconstant Gauss curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Other special differential geometries (53A40)

Related Items (5)

The second variational formula for Laguerre minimal hypersurfaces in \(\mathbb R^n\) ⋮ Laguerre isothermic surfaces in \(\mathbb R^3\) and their Darboux transformation ⋮ Laguerre isoparametric hypersurfaces in \(\mathbb R^n\) with two distinct non-zero principal curvatures ⋮ Complete Laguerre minimal surfaces in \(\mathbb R^3\) ⋮ Generalized spherical type hypersurfaces

Cites Work

• Dupin hypersurfaces
• Laguerre geometry of hypersurfaces in \({\mathbb R}^n\)
• Laguerre geometry of surfaces with plane lines of curvature
• Conformal CMC-surfaces in Lorentzian space forms
• Laguerre geometry of surfaces in \(\mathbb R^3\)
• A variational problem for surfaces in Laguerre geometry
• THE BIANCHI–DARBOUX TRANSFORM OF L-ISOTHERMIC SURFACES
• Lie sphere geometry. With applications to submanifolds
• Unnamed Item
• Unnamed Item

This page was built for publication: Laguerre minimal surfaces in \(\mathbb R^{3}\)