Laguerre isopararmetric hypersurfaces in \(\mathbb{R}^4\)

DOI10.1007/s10114-011-0322-2zbMath1252.53019OpenAlexW2022812487MaRDI QIDQ1757983

Tongzhu Li, Hua Fei Sun

Publication date: 7 November 2012

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

Full work available at URL: https://doi.org/10.1007/s10114-011-0322-2

zbMATH Keywords

Laguerre second fundamental formLaguerre transformation groupLaguerre isoparametric hypersurface

Mathematics Subject Classification ID

Local submanifolds (53B25) Other special differential geometries (53A40)

Related Items (3)

Dupin hypersurfaces with constant Laguerre curvatures ⋮ A characterization of Laguerre isoparametric hypersurfaces of the Euclidian space ⋮ Classification of Laguerre isoparametric hypersurfaces in R6

Cites Work

• Unnamed Item
• Laguerre geometry of hypersurfaces in \({\mathbb R}^n\)
• Classification of hypersurfaces with parallel Laguerre second fundamental form in \(\mathbb R^n\)
• Dupin'sche Hyperflächen in \(E^ 4\). (Dupin hypersurfaces in \(E^ 4)\)
• Generalized Cartan identities on isoparametric manifolds
• Laguerre geometry of surfaces with plane lines of curvature
• Laguerre geometry of surfaces in \(\mathbb R^3\)
• THE BIANCHI–DARBOUX TRANSFORM OF L-ISOTHERMIC SURFACES

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