Actions of Hermann type and proper complex equifocal submanifolds

zbMath1089.53032MaRDI QIDQ2574464

Naoyuki Koike

Publication date: 21 November 2005

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

rigidityJacobi fieldshyperpolar actionprincipal orbit

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (13)

A modified mean curvature flow in Euclidean space and soap bubbles in symmetric spaces ⋮ A splitting theorem for proper complex equifocal submanifolds ⋮ Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ Curvature-adapted submanifolds of semi-Riemannian groups ⋮ A holonomy invariant anisotropic surface energy in a Riemannian manifold ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds. II ⋮ Equifocal submanifolds in a symmetric space and the infinite dimensional geometry ⋮ A Cartan type identity for isoparametric hypersurfaces in symmetric spaces ⋮ Complex hyperpolar actions with a totally geodesic orbit ⋮ On the geometry of the orbits of Hermann actions ⋮ The constancy of principal curvatures of curvature-adapted submanifolds in symmetric spaces ⋮ The homogeneous slice theorem for the complete complexification of a proper complex equifocal submanifold ⋮ A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory

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