Polar actions on symmetric spaces

Kollross, Andreas

J. Differential Geom., Tome 75 (2007) no. 1, p. 425-482 / Harvested from Project Euclid

Résumé

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.

Publié le : 2007-11-14
Classification:

@article{1193074901,
     author = {Kollross, Andreas},
     title = {Polar actions on symmetric spaces},
     journal = {J. Differential Geom.},
     volume = {75},
     number = {1},
     year = {2007},
     pages = { 425-482},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1193074901}
}

Kollross, Andreas. Polar actions on symmetric spaces. J. Differential Geom., Tome 75 (2007) no. 1, pp.  425-482. http://gdmltest.u-ga.fr/item/1193074901/