Möbius geometry for hypersurfaces in S4

DOI10.1017/S0027763000005274zbMath0863.53034OpenAlexW1987632147MaRDI QIDQ4869957

Chang Ping Wang

Publication date: 17 March 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000005274

zbMATH Keywords

hypersurfaceprincipal curvatureMöbius curvaturefour-sphereCartan's method of moving framesMöbius homogeneous

Mathematics Subject Classification ID

Related Items (15)

Generic conformally flat hypersurfaces and surfaces in 3-sphere ⋮ PARA-BLASCHKE ISOPARAMETRIC HYPERSURFACES IN A UNIT SPHERE S^{n + 1}(1) ⋮ Conformally flat Lorentzian hypersurfaces in \(\mathbb{R}_1^4\) with a pair of complex conjugate principal curvatures ⋮ Conformally flat Lorentzian hypersurfaces in \(\mathbb R_1^4\) with three distinct principal curvatures ⋮ Wintgen ideal submanifolds: new examples, frame sequence and Möbius homogeneous classification ⋮ Möbius homogeneous hypersurfaces with two distinct principal curvatures in \(S^{n+1}\) ⋮ The complete classification of a class of conformally flat Lorentzian hypersurfaces in ℝ14 ⋮ Conformally flat hypersurfaces with Bianchi-type Guichard net ⋮ Unnamed Item ⋮ Classification of Möbius homogenous surfaces in \({\mathbb {S}}^4\) ⋮ Hypersurfaces with isotropic para-Blaschke tensor ⋮ Spacelike Möbius hypersurfaces in four dimensional Lorentzian space form ⋮ Möbius homogeneous hypersurfaces with three distinct principal curvatures in \(\mathbb S^{n+1}\) ⋮ Classification of Möbius Isoparametric Hypersurfaces in ⁴ ⋮ A duality for conformally flat hypersurfaces

Cites Work

• Isoparametrische Hyperflächen in Sphären. I
• A duality theorem for Willmore surfaces
• Compact Dupin hypersurfaces with three principal curvatures
• Dupin hypersurfaces
• Dupin'sche Hyperflächen in \(E^ 4\). (Dupin hypersurfaces in \(E^ 4)\)
• Tautness and Lie sphere geometry
• Surfaces in Möbius geometry

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