New examples of Willmore submanifolds in the unit sphere via isoparametric functions

DOI10.1007/S10455-012-9319-ZzbMath1260.53028arXiv1110.3557OpenAlexW4238078212MaRDI QIDQ1759451

Wenjiao Yan, Zizhou Tang

Publication date: 20 November 2012

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

Full work available at URL: https://arxiv.org/abs/1110.3557

zbMATH Keywords

Willmore submanifoldfocal submanifoldsFKM-type isoparametric function

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (8)

Willmore submanifolds in the unit sphere via isoparametric functions ⋮ On focal submanifolds of isoparametric hypersurfaces and Simons formula ⋮ Isoparametric foliations, a problem of Eells–Lemaire and conjectures of Leung ⋮ A characterization of the Ejiri torus in \(S^{5}\) ⋮ Isoparametric foliation and a problem of Besse on generalizations of Einstein condition ⋮ On \(C\)-totally real submanifolds of \(\mathbb{S}^{2n+1}(1)\) with non-negative sectional curvature ⋮ New examples of Willmore submanifolds in the unit sphere via isoparametric functions. II ⋮ On Ricci tensor of focal submanifolds of isoparametric hypersurfaces

Cites Work

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• Willmore hypersurfaces in a sphere
• Isoparametric functions on Riemannian manifolds. I
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Geometry of isoparametric hypersurfaces in Riemannian manifolds
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• Lie sphere geometry. With applications to submanifolds
• The second variational formula for Willmore submanifolds in \(S^n\).

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