Polar actions on symmetric spaces

Andreas Kollross Universit¨at Augsburg

Differential Geometry mathscidoc:1609.10043

Journal of Differential Geometry, 77, (3), 425-482, 2007
We study isometric Lie group actions on symmetric spaces admitting a section, i.e., a submanifold that 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.
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@inproceedings{andreas2007polar,
  title={POLAR ACTIONS ON SYMMETRIC SPACES},
  author={Andreas Kollross},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909102143139046700},
  booktitle={Journal of Differential Geometry},
  volume={77},
  number={3},
  pages={425-482},
  year={2007},
}
Andreas Kollross. POLAR ACTIONS ON SYMMETRIC SPACES. 2007. Vol. 77. In Journal of Differential Geometry. pp.425-482. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909102143139046700.
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