%0 Journal Article %1 kollross2007polar %A Kollross, Andreas %D 2007 %J Journal of Differential Geometry %K myown %N 3 %P 425-482 %R 10.4310/jdg/1193074901 %T Polar actions on symmetric spaces %V 77 %X 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.

@article{kollross2007polar, abstract = {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.}, added-at = {2021-05-12T15:13:41.000+0200}, author = {Kollross, Andreas}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2a81971311be5565ed1b5a4740691b1cb/kollross}, doi = {10.4310/jdg/1193074901}, interhash = {a4cdc254915b4e7295d2fc27ca4a979f}, intrahash = {a81971311be5565ed1b5a4740691b1cb}, journal = {Journal of Differential Geometry}, keywords = {myown}, month = nov, number = 3, pages = {425-482}, timestamp = {2021-07-07T15:33:53.000+0200}, title = {Polar actions on symmetric spaces}, volume = 77, year = 2007 }