SUBMANIFOLD GEOMETRIES IN A SYMMETRIC SPACE OF NON-COMPACT TYPE AND A PSEUDO-HILBERT SPACE

DOI10.2206/KYUSHUJM.58.167zbMath1064.53034OpenAlexW2099968427MaRDI QIDQ4819679

Naoyuki Koike

Publication date: 27 September 2004

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

Full work available at URL: https://doi.org/10.2206/kyushujm.58.167

zbMATH Keywords

focal radiusisoparametricequifocalFredholm submanifoldparallel transport map

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (9)

A splitting theorem for proper complex equifocal submanifolds ⋮ Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ 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 ⋮ 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 ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds ⋮ Complex equifocal submanifolds and infinite-dimensional anti-Kählerian isoparametric submanifolds

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