Submanifolds in \(S^{n+p}\) with parallel Möbius form

DOI10.1007/S11766-004-0007-ZzbMath1086.53020OpenAlexW2086660255MaRDI QIDQ1769566

Qiaoling Xia

Publication date: 4 April 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0007-z

zbMATH Keywords

torusVeronese surfaceconstant scalar curvatureMöbius formClifford minimal hypersurfaceBlaschke formMöbius submanifold

Mathematics Subject Classification ID

Local submanifolds (53B25)

Cites Work

• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Submanifolds with parallel mean curvature vector in spheres
• Submanifolds with constant Möbius scalar curvature in \(S^n\)
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
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