A new structural approach to isoparametric hypersurfaces in spheres

DOI10.1007/s10455-017-9563-3zbMath1383.53046arXiv1410.6206OpenAlexW2963859328WikidataQ59529330 ScholiaQ59529330MaRDI QIDQ1689303

Anna Siffert

Publication date: 12 January 2018

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6206

zbMATH Keywords

GrassmanniansLagrangian submanifoldsisoparametric hypersurfaces in spheres

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40)

Related Items (11)

Polar foliations on quaternionic projective spaces ⋮ Polyharmonic hypersurfaces into space forms ⋮ A family of free boundary minimal surfaces in the unit ball ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ Minimal Lagrangian submanifolds of the complex hyperquadric ⋮ Classifications of Dupin hypersurfaces in Lie sphere geometry ⋮ A-foliations of codimension two on compact simply-connected manifolds ⋮ The Euler characteristic of hypersurfaces in space forms and applications to isoparametric hypersurfaces ⋮ Classification of isoparametric hypersurfaces in spheres with $(g,m)=(6,1)$ ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres

Cites Work

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• Some results in E. Cartan's theory of isoparametric families of hypersurfaces
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