Classification of Möbius homogenous surfaces in \({\mathbb {S}}^4\)

DOI10.1007/s10455-014-9421-5zbMath1314.53024OpenAlexW2085694364MaRDI QIDQ465478

Zhenxiao Xie, Chang Ping Wang

Publication date: 31 October 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-014-9421-5

zbMATH Keywords

moduli spaceconformal Gauss mapMöbius homogeneous surfaceMöbius invariant

Mathematics Subject Classification ID

Related Items (3)

Spacelike Möbius hypersurfaces in four dimensional Lorentzian space form ⋮ Time-like conformal homogeneous hypersurfaces with three distinct principal curvatures ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds

Cites Work

• Geodesics on the moduli space of oriented circles in \(\mathbb{S}^{3}\)
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Submanifolds with constant Möbius scalar curvature in \(S^n\)
• Surfaces with vanishing Möbius form in \(S^n\).
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• The Möbius characterizations of Willmore tori and Veronese submanifolds in the unit sphere
• Willmore surfaces of constant Möbius curvature
• A Möbius characterization of submanifolds
• Möbius geometry for hypersurfaces in S⁴
• The second variational formula for Willmore submanifolds in \(S^n\).
• Conformal geometry of surfaces in \(S^4\) and quaternions

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