On Curvature-Adapted and Proper Complex Equifocal Sub-manifolds

DOI10.5666/KMJ.2010.50.4.509zbMath1231.53046arXiv0902.1375MaRDI QIDQ3094435

Naoyuki Koike

Publication date: 25 October 2011

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1375

zbMATH Keywords

Hermann actionsymmetric space of noncompact typeproper complex equifocal submanifoldcurvature-adapted submanifoldcomplex Coxeter group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (5)

Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ 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

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