Polar actions on symmetric spaces
By A. Kollross. 2005
68 citations recorded by the source corpus.
We study isometric Lie group actions on symmetric spaces admitting a section, i.e. a submanifold which meets all orbits orthogonally at every intersection point. We classify such actions on the compact symmetric spaces with simple isometry group and rank greater than one. In particular we show that these actions are hyperpolar, i.e. the sections are flat.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f81d1c0b801c04477c8faa90a50fd4c79f7fda59
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In Algebra and Number Theory
In Mathematical Physics
Citations in the corpus
- Singular Riemannian Foliations and Isoparametric Submanifolds (2010, background): “We would like to end this section with a further result of Kollross; see [ 35 ] and [36].”