Complex hyperpolar actions with a totally geodesic orbit

zbMath1146.53031MaRDI QIDQ2465243

Naoyuki Koike

Publication date: 9 January 2008

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1189717419

zbMATH Keywords

complex equifocal submanifoldHermann type actionshyperplanar action

Mathematics Subject Classification ID

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

Related Items (3)

Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ A holonomy invariant anisotropic surface energy in a Riemannian manifold ⋮ A Duality Between Compact Symmetric Triads and Semisimple Pseudo-Riemannian Symmetric Pairs with Applications to Geometry of Hermann Type Actions

Cites Work

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• Actions of Hermann type and proper complex equifocal submanifolds
• Cohomogeneity one actions on hyperbolic spaces
• A classification of hyperpolar and cohomogeneity one actions
• Les espaces symétriques noncompacts
• COMPLEMENTARY DISTRIBUTIONS WHICH PRESERVE THE LEAF GEOMETRY AND APPLICATIONS TO TOTALLY GEODESIC FOLIATIONS
• Orbits of Hermann actions

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