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

DOI10.1007/S11401-017-1028-2zbMath1381.53029OpenAlexW2753928669MaRDI QIDQ681056

Tongzhu Li

Publication date: 30 January 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-017-1028-2

zbMATH Keywords

conformal transformation groupMöbius isoparametric hypersurfacesMöbius homogeneous hypersurfacesMöbius transformation group

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (4)

Unnamed Item ⋮ Spacelike Möbius hypersurfaces in four dimensional Lorentzian space form ⋮ Time-like conformal homogeneous hypersurfaces with three distinct principal curvatures ⋮ Möbius homogeneous hypersurfaces with one simple principal curvature in \(\mathbb{S}^{n+1}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Möbius homogeneous hypersurfaces with two distinct principal curvatures in \(S^{n+1}\)
• Möbius isoparametric hypersurfaces with three distinct principal curvatures. II
• On the Blaschke isoparametric hypersurfaces in the unit sphere
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• The Möbius characterizations of Willmore tori and Veronese submanifolds in the unit sphere
• A conformal differential invariant and the conformal rigidity of hypersurfaces
• Möbius geometry for hypersurfaces in S⁴
• Lie sphere geometry. With applications to submanifolds

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