The local orbit types of symmetric spaces under the actions of the isotropy subgroups

DOI10.1016/S0926-2245(99)00023-6zbMath0941.53035WikidataQ115337416 ScholiaQ115337416MaRDI QIDQ1303771

Hiroshi Tamaru

Publication date: 22 September 1999

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

polarsDynkin diagramisotropy subgrouplocal orbit type

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Differential geometry of symmetric spaces (53C35)

Related Items (8)

Satake diagrams and restricted root systems of semisimple pseudo-Riemannian symmetric spaces ⋮ Einstein hypersurfaces in irreducible symmetric spaces ⋮ Cohomogeneity one actions on some noncompact symmetric spaces of rank two ⋮ Noncompact homogeneous Einstein manifolds attached to graded Lie algebras ⋮ Local orbit types of the isotropy representations for semisimple pseudo-Riemannian symmetric spaces ⋮ Compact geodesic orbit spaces with a simple isotropy group ⋮ The fixed point set of a holomorphic isometry, the intersection of two real forms in a Hermitian symmetric space of compact type and symmetric triads ⋮ Moment maps and isoparametric hypersurfaces in spheres -- Hermitian cases

Cites Work

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• The involutions of compact symmetric spaces. II
• Totally geodesic submanifolds of symmetric spaces. II
• Shape operators of orbits of isotropy subgroups in Riemannian symmetric spaces of the compact type
• The involutions of compact symmetric spaces. III
• Homogeneous spaces defined by Lie group automorphisms. II
• Differentiable actions of compact connected classical groups. II
• Semisimple subalgebras of semisimple Lie algebras

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