Moment maps of the spin action and the Cartan-Münzner polynomials of degree four

DOI10.1007/s00208-012-0819-8zbMath1267.53057OpenAlexW2105666181MaRDI QIDQ1945157

Reiko Naka-Miyaoka

Publication date: 3 April 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-012-0819-8

zbMATH Keywords

moment mapsspin actionCartan-Münzner polynomials of degree four

Mathematics Subject Classification ID

Global submanifolds (53C40) Momentum maps; symplectic reduction (53D20) Clifford algebras, spinors (15A66)

Related Items (6)

Isoparametric foliations, diffeomorphism groups and exotic smooth structures ⋮ Moment maps and isoparametric hypersurfaces in spheres -- Grassmannian cases ⋮ Moment map of the spin action and the Cartan-Münzner polynomials ⋮ Equifocal submanifolds in a symmetric space and the infinite dimensional geometry ⋮ Moment maps and isoparametric hypersurfaces of OT-FKM type ⋮ Moment maps and isoparametric hypersurfaces in spheres -- Hermitian cases

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new look at condition A
• Isoparametrische Hyperflächen in Sphären. I
• Homogeneous isoparametric hypersurfaces in spheres with four distinct principal curvatures and moment maps
• The Dorfmeister-Neher theorem on isoparametric hypersurfaces
• Isoparametric functions on Riemannian manifolds. I
• Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
• On some types of isoparametric hypersurfaces in spheres. II
• Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems
• Isoparametric hypersurfaces with \((g,m)=(6,2)\)
• On the classification of isoparametric hypersurfaces with four distinct curvatures in spheres
• Isoparametric hypersurfaces with four principal curvatures
• Clifford modules
• Minimal submanifolds of low cohomogeneity
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Geometry of G₂ orbits and isoparametric hypersurfaces
• Isoparametric hypersurfaces with four principal curvatures, II
• Isoparametric Hypersurfaces with four Principal Curvatures Revisited
• Isoparametric hypersurfaces, case g=6, m=1

This page was built for publication: Moment maps of the spin action and the Cartan-Münzner polynomials of degree four