Examples of hyperpolar actions of the automorphism groups of Lie algebras

DOI10.1016/j.topol.2015.05.057zbMath1342.53076OpenAlexW365604728WikidataQ115340806 ScholiaQ115340806MaRDI QIDQ898528

Yuichiro Taketomi

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.057

zbMATH Keywords

hyperpolar actionnoncompact symmetric space

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Noncompact Lie groups of transformations (57S20)

Cites Work

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• Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
• The space of left-invariant metrics on a Lie group up to isometry and scaling
• Degenerations of Lie algebras and geometry of Lie groups
• On the nonexistence of left-invariant Ricci solitons -- a conjecture and examples
• Polar actions on the complex hyperbolic plane
• A classification of hyperpolar and cohomogeneity one actions
• Cohomogeneity one actions on symmetric spaces of noncompact type
• Three-dimensional solvsolitons and the minimality of the corresponding submanifolds

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