Examples of infinite dimensional isoparametric submanifolds

DOI10.1007/BF02571240zbMath0725.47018MaRDI QIDQ2276733

Gudlaugur Thorbergsson, Ulrich Pinkall

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174173

zbMATH Keywords

isoparametric submanifoldsprincipal orbitssymmetric space of compact typenonzero principal curvatures

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Fredholm structures on infinite-dimensional manifolds (58B15)

Related Items

Polar actions on Hilbert space ⋮ 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 ⋮ Isoparametric submanifolds in Hilbert spaces and holonomy maps ⋮ Equifocal submanifolds in a symmetric space and the infinite dimensional geometry ⋮ On weakly reflective PF submanifolds in Hilbert spaces ⋮ Complex equifocal submanifolds and infinite-dimensional anti-Kählerian isoparametric submanifolds ⋮ TOWARD SYMMETRIC SPACES OF AFFINE KAC–MOODY TYPE

Cites Work

• Proper Fredholm submanifolds of Hilbert space
• Critical point theory and submanifold geometry
• Polar Coordinates Induced by Actions of Compact Lie Groups

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