Laguerre homogeneous surfaces in \(\mathbb R^3\)

DOI10.1007/s11425-011-4308-4zbMath1286.53014OpenAlexW2269144506MaRDI QIDQ2392944

Tongzhu Li

Publication date: 5 August 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4308-4

zbMATH Keywords

Laguerre geometryLaguerre transformation groupLaguerre homogeneous surfaceLaguerre invariant

Mathematics Subject Classification ID

Other special differential geometries (53A40) Laguerre geometries (51B15)

Cites Work

• Unnamed Item
• Edge offset meshes in Laguerre geometry
• Homogeneous surfaces in Lie sphere geometry
• Dupin hypersurfaces
• Laguerre geometry of hypersurfaces in \({\mathbb R}^n\)
• Classification of hypersurfaces with parallel Laguerre second fundamental form in \(\mathbb R^n\)
• Laguerre minimal surfaces, isotropic geometry and linear elasticity
• Laguerre geometry of surfaces with plane lines of curvature
• Weierstrass representations of Laguerre minimal surfaces in \({\mathbb{R}}^3\)
• A variational problem for surfaces in Laguerre geometry
• Lie sphere geometry. With applications to submanifolds

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