Homogeneous isoparametric hypersurfaces in spheres with four distinct principal curvatures and moment maps

DOI10.2748/tmj/1277298645zbMath1257.53085OpenAlexW2032590950MaRDI QIDQ991726

Shinobu Fujii

Publication date: 7 September 2010

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

Full work available at URL: https://doi.org/10.2748/tmj/1277298645

zbMATH Keywords

isoparametric hypersurfacesmoment maps

Mathematics Subject Classification ID

Global submanifolds (53C40) Momentum maps; symplectic reduction (53D20)

Related Items (6)

Moment maps associated with holomorphic isometric actions on Kähler manifolds ⋮ Moment maps and isoparametric hypersurfaces in spheres -- Grassmannian cases ⋮ Moment maps of the spin action and the Cartan-Münzner polynomials of degree four ⋮ Moment map of the spin action and the Cartan-Münzner polynomials ⋮ A class of non-compact homogeneous Lagrangian submanifolds in complex hyperbolic spaces ⋮ Moment maps and isoparametric hypersurfaces in spheres -- Hermitian cases

Cites Work

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• Isoparametrische Hyperflächen in Sphären. I
• Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
• Cliffordalgebren und neue isoparametrische Hyperflächen
• On some types of isoparametric hypersurfaces in spheres. I
• On some types of isoparametric hypersurfaces in spheres. II
• Torus actions on symplectic manifolds
• On the classification of isoparametric hypersurfaces with four distinct curvatures in spheres
• Isoparametric hypersurfaces with four principal curvatures
• Minimal submanifolds of low cohomogeneity
• Lie sphere geometry. With applications to submanifolds

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