Classification of hypersurfaces with parallel Laguerre second fundamental form in \(\mathbb R^n\)

DOI10.1016/j.difgeo.2009.09.005zbMath1210.53020OpenAlexW1993630104WikidataQ115357183 ScholiaQ115357183MaRDI QIDQ960868

Tongzhu Li, Haizhong Li, Chang Ping Wang

Publication date: 29 March 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.09.005

zbMATH Keywords

Laguerre metricLaguerre second fundamental formLaguerre transformation group

Mathematics Subject Classification ID

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

Related Items

Complete hypersurfaces with constant Laguerre scalar curvature in \(\mathbb R^n\) ⋮ Laguerre homogeneous surfaces in \(\mathbb R^3\) ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Dupin hypersurfaces with constant Laguerre curvatures ⋮ A characterization of Laguerre isoparametric hypersurfaces of the Euclidian space ⋮ Classification of hypersurfaces with constant Laguerre eigenvalues in \(\mathbb R^{n }\) ⋮ Hypersurfaces with parallel para‐Laguerre tensor in ⋮ Laguerre isoparametric and Dupin hypersurfaces in \(\mathbb {R}^n\) ⋮ Laguerre isopararmetric hypersurfaces in \(\mathbb{R}^4\) ⋮ On Laguerre form and Laguerre isoparametric hypersurfaces ⋮ Complete hypersurfaces with constant Möbius scalar curvature ⋮ Classification of Laguerre isoparametric hypersurfaces in R6

Cites Work

• Unnamed Item
• Laguerre geometry of hypersurfaces in \({\mathbb R}^n\)
• Laguerre geometry of surfaces with plane lines of curvature
• Laguerre geometry of surfaces in \(\mathbb R^3\)
• A variational problem for surfaces in Laguerre geometry
• THE BIANCHI–DARBOUX TRANSFORM OF L-ISOTHERMIC SURFACES

This page was built for publication: Classification of hypersurfaces with parallel Laguerre second fundamental form in \(\mathbb R^n\)