Isoparametric submanifolds and their homogeneous structures

DOI10.4310/jdg/1214454294zbMath0791.53051OpenAlexW1525991586WikidataQ115180158 ScholiaQ115180158MaRDI QIDQ1312146

Carlos E. Olmos

Publication date: 19 January 1994

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

Full work available at URL: https://doi.org/10.4310/jdg/1214454294

zbMATH Keywords

rank\(s\)-representationfocal manifoldsnormal holonomy groupsspaces of constant negative curvature

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40)

Related Items (18)

Infinitesimally homogeneous submanifolds of Euclidean spaces ⋮ Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems ⋮ Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ Singular Riemannian foliations and isoparametric submanifolds ⋮ Isoparametric hypersurfaces with \((g,m)=(6,2)\) ⋮ A Berger type normal holonomy theorem for complex submanifolds ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds. II ⋮ Hamiltonian minimality of normal bundles over the isoparametric submanifolds ⋮ Normal holonomy of orbits and Veronese submanifolds ⋮ Mok's characteristic varieties and the normal holonomy group ⋮ Parallel submanifolds of complex projective space and their normal holonomy ⋮ Almost extrinsically homogeneous submanifolds of Euclidean space ⋮ Normal holonomy and rational properties of the shape operator ⋮ Orbits of Rank One and Parallel Mean Curvature ⋮ Submanifolds, holonomy, and homogeneous geometry ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds ⋮ Classification of conformally flat isoparametric submanifolds of Euclidean space ⋮ From isoparametric submanifolds to polar foliations

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