Regular submanifolds in conformal space \(\mathbb Q_p^n\)

DOI10.1007/s11401-012-0733-0zbMath1256.53011OpenAlexW1991925344MaRDI QIDQ1928188

Chuan Xi Wu, ChanG Xiong Nie

Publication date: 2 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11401-012-0733-0

zbMATH Keywords

conformal invariantsWillmore submanifoldsconformal spaceconformal isotropic

Mathematics Subject Classification ID

Related Items (5)

Willmore spacelike submanifolds in an indefinite space form Nn+p q(c) ⋮ Space-like Blaschke isoparametric submanifolds in the light-cone of constant scalar curvature ⋮ Regular space-like hypersurfaces in \(\mathbb S^{m+1}_1\) with parallel para-Blaschke tensors ⋮ Blaschke isoparametric hypersurfaces in the conformal space \(\mathbb Q_1^{n+1}\). I ⋮ A complete classification of Blaschke parallel submanifolds with vanishing Möbius form

Cites Work

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• Surfaces with vanishing Möbius form in \(S^n\).
• Surfaces in conformal geometry
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• Conformal CMC-surfaces in Lorentzian space forms
• Surfaces in Möbius geometry
• Zero mean curvature surfaces with non–negative curvature in flat Lorentzian 4–spaces

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