Polar foliations on symmetric spaces

Details Polar foliations on symmetric spaces Polar foliations on symmetric spaces

2012-04-13

arxiv.org/abs/1204.2923v1

Mathematics

Differential Geometry

Scientific paper

We prove that a polar foliation of codimension at least three in an
irreducible compact symmetric space is hyperpolar, unless the symmetric space
has rank one. For reducible symmetric spaces of compact type, we derive
decomposition results for polar foliations.

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