An algebraic approach to isoparametric hypersurfaces in spheres. I

DOI10.2748/tmj/1178229050zbMath0507.53038OpenAlexW4247413999MaRDI QIDQ1837405

Erhard Neher, Josef F. Dorfmeister

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229050

zbMATH Keywords

second fundamental formhomogeneous polynomialtriple systemisoparametric surfacesPeirce decomposition

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Ternary compositions (17A40)

Related Items (9)

Isoparametric hypersurfaces, case g=6, m=1 ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems ⋮ A new look at condition A ⋮ Isoparametric hypersurfaces with \((g,m)=(6,2)\) ⋮ Characterizations of a Clifford Hypersurface in a Unit Sphere ⋮ \(n\)-Sasakian manifolds ⋮ An algebraic approach to isoparametric hypersurfaces in spheres. II ⋮ Isoparametric triple systems of FKM-type. II

Cites Work

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• Isoparametrische Hyperflächen in Sphären. I
• Isoparametric triple systems of FKM-type. II
• Isoparametric triple systems of algebra type
• 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
• An algebraic approach to isoparametric hypersurfaces in spheres. II
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Some results in E. Cartan's theory of isoparametric families of hypersurfaces

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