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Polar actions on symmetric spaces of higher rank | Andreas Kollross
; | Date: |
16 Aug 2011 | Abstract: | We show that polar actions of cohomogeneity two on classical compact Lie
groups of higher rank, endowed with a biinvariant Riemannian metric, are
hyperpolar. Combining this with a recent result of Lytchak, we are able to
prove that polar actions (of arbitrary cohomogeneity) induced by reductive
algebraic subgroups in the isometry group of an irreducible Riemannian
symmetric space of higher rank (compact or non-compact) are hyperpolar. | Source: | arXiv, 1108.3256 | Services: | Forum | Review | PDF | Favorites |
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