Polar actions on Hilbert space

DOI10.1007/BF02926445zbMath0818.57023MaRDI QIDQ1346083

Chun-Lian Terng

Publication date: 22 August 1995

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

flag manifoldscompact Lie groupsectionaffine Kac-Moody groupspolar actionspolarisoparametric submanifoldsisometric \(H\)-action on a Riemannian manifold

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Noncompact Lie groups of transformations (57S20)

Related Items (10)

Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ Orthogonal symmetric affine Kac-Moody algebras ⋮ Isoparametric submanifolds in Hilbert spaces and holonomy maps ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds. II ⋮ Equifocal submanifolds in a symmetric space and the infinite dimensional geometry ⋮ On weakly reflective PF submanifolds in Hilbert spaces ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds ⋮ Complex equifocal submanifolds and infinite-dimensional anti-Kählerian isoparametric submanifolds ⋮ TOWARD SYMMETRIC SPACES OF AFFINE KAC–MOODY TYPE ⋮ Polar Actions on Symmetric Spaces

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