Möbius homogeneous hypersurfaces with two distinct principal curvatures in \(S^{n+1}\)

DOI10.1007/S11512-011-0161-5zbMath1291.53010OpenAlexW2017902088MaRDI QIDQ363498

Xiang Ma, Tongzhu Li, Chang Ping Wang

Publication date: 2 September 2013

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-011-0161-5

zbMATH Keywords

Möbius transformationlogarithmic spiralhomogeneous hypersurfaceMöbius form

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (8)

Unnamed Item ⋮ Regular space-like hypersurfaces in \(\mathbb S^{m+1}_1\) with parallel para-Blaschke tensors ⋮ Spacelike Möbius hypersurfaces in four dimensional Lorentzian space form ⋮ Möbius homogeneous hypersurfaces with three distinct principal curvatures in \(\mathbb S^{n+1}\) ⋮ Time-like conformal homogeneous hypersurfaces with three distinct principal curvatures ⋮ Möbius homogeneous hypersurfaces with one simple principal curvature in \(\mathbb{S}^{n+1}\) ⋮ A note on Blaschke isoparametric hypersurfaces ⋮ Unnamed Item

Cites Work

• Möbius isoparametric hypersurfaces with three distinct principal curvatures
• On the Blaschke isoparametric hypersurfaces in the unit sphere
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• The Möbius characterizations of Willmore tori and Veronese submanifolds in the unit sphere
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• A conformal differential invariant and the conformal rigidity of hypersurfaces
• Möbius geometry for hypersurfaces in S⁴

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