A condition for isoparametric hypersurfaces of \(S^ n\) to be homogeneous

DOI10.2748/TMJ/1178228681zbMath0566.53050OpenAlexW2069907598MaRDI QIDQ1059292

Hitoshi Takagi

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228681

zbMATH Keywords

second fundamental formisoparametric hypersurfacealgebraic homogeneity

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems ⋮ Real Hypersurfaces and Complex Submanifolds in Complex Projective Space

Cites Work

• Unnamed Item
• Unnamed Item
• Isoparametrische Hyperflächen in Sphären. I
• On some types of isoparametric hypersurfaces in spheres. I
• On homogeneous Riemannian manifolds
• Minimal submanifolds of low cohomogeneity
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• Infinitesimally homogeneous spaces

This page was built for publication: A condition for isoparametric hypersurfaces of \(S^ n\) to be homogeneous