Hermann type actions on a pseudo-Riemannian symmetric space

DOI10.21099/tkbjm/1302268242zbMath1215.53047arXiv0807.1604OpenAlexW1510438538WikidataQ115233635 ScholiaQ115233635MaRDI QIDQ533726

Naoyuki Koike

Publication date: 6 May 2011

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

Full work available at URL: https://arxiv.org/abs/0807.1604

zbMATH Keywords

shape operatorsisoparametric submanifoldscomplex equifocal submanifoldsisotropy actionprincipal orbits

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35)

Related Items (6)

Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ A Duality Between Compact Symmetric Triads and Semisimple Pseudo-Riemannian Symmetric Pairs with Applications to Geometry of Hermann Type Actions ⋮ Equifocal submanifolds in a symmetric space and the infinite dimensional geometry ⋮ A Cartan type identity for isoparametric hypersurfaces in symmetric spaces ⋮ Calabi-Yau structures and special Lagrangian submanifolds of complexified symmetric spaces ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds

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