Polar actions on symmetric spaces
Differential Geometry
2011-01-12 v2
Abstract
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.
Cite
@article{arxiv.math/0506312,
title = {Polar actions on symmetric spaces},
author = {Andreas Kollross},
journal= {arXiv preprint arXiv:math/0506312},
year = {2011}
}
Comments
45 pages; erroneous Proposition 3.4 deleted; other minor changes and typos corrected; results remain unchanged