English

Polar foliations on symmetric spaces

Differential Geometry 2014-01-10 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1204.2923,
  title  = {Polar foliations on symmetric spaces},
  author = {Alexander Lytchak},
  journal= {arXiv preprint arXiv:1204.2923},
  year   = {2014}
}

Comments

Minor stylistic modifications