Isoparametric hypersurfaces with four principal curvatures. IV

DOI10.4310/jdg/1589853626zbMath1455.53081arXiv1605.00976OpenAlexW2963743038WikidataQ115164888 ScholiaQ115164888MaRDI QIDQ2188428

Quo-Shin Chi

Publication date: 11 June 2020

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00976

zbMATH Keywords

second fundamental formisoparametric hypersurfacesspectral datanormalized basisfocal manifoldquaternion multiplicationmirror points

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (30)

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Cites Work

• Unnamed Item
• Errata to: ``Isoparametric hypersurfaces with \((g,m)=(6,2)\)
• Isoparametric hypersurfaces with four principal curvatures. III.
• Isoparametric foliation and Yau conjecture on the first eigenvalue
• Isoparametric hypersurfaces in Damek-Ricci spaces
• A new look at condition A
• Isoparametric functions on exotic spheres
• Differentiable classification of 4-manifolds with singular Riemannian foliations
• Isoparametric triple systems of algebra type
• Hamiltonian stability of the Gauss images of homogeneous isoparametric hypersurfaces. II.
• On Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres
• The Dorfmeister-Neher theorem on isoparametric hypersurfaces
• Cliffordalgebren und neue isoparametrische Hyperflächen
• Polar foliations on quaternionic projective spaces
• Orthogonal multiplications of type \([3,4,p\), \(p\leq 12\)]
• An algebraic approach to isoparametric hypersurfaces in spheres. II
• Isoparametric hypersurfaces with \((g,m)=(6,2)\)
• Isoparametric hypersurfaces and metrics of constant scalar curvature
• Isoparametric hypersurfaces with four principal curvatures
• Isoparametric foliation and Yau conjecture on the first eigenvalue. II.
• Isoparametric foliations on complex projective spaces
• Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces
• Isoparametric functions and exotic spheres
• Singular Riemannian foliations and applications to positive and non-negative curvature: Figure 1.
• Isoparametric hypersurfaces with four principal curvatures, II
• Ideal Theory and Classification of Isoparametric Hypersurfaces
• Isoparametric Hypersurfaces with four Principal Curvatures Revisited
• Isoparametric hypersurfaces, case g=6, m=1
• Orthogonal Multiplications in small Dimensions

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