Polar actions on symmetric spaces

Details Polar actions on symmetric spaces Polar actions on symmetric spaces

2005-06-15

arxiv.org/abs/math/0506312v2

J. Differential Geom. 77 (2007), no. 3, 425--482

Mathematics

Differential Geometry

45 pages; erroneous Proposition 3.4 deleted; other minor changes and typos corrected; results remain unchanged

Scientific paper

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.

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