English

Codimension two polar homogeneous foliations on symmetric spaces of noncompact type

Differential Geometry 2024-07-15 v2

Abstract

We classify homogeneous polar foliations of codimension two on irreducible symmetric spaces of noncompact type up to orbit equivalence. Any such foliation is either hyperpolar or the canonical extension of a polar homogeneous foliation on a rank one symmetric space.

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Cite

@article{arxiv.2302.08339,
  title  = {Codimension two polar homogeneous foliations on symmetric spaces of noncompact type},
  author = {José Carlos Díaz-Ramos and Juan Manuel Lorenzo-Naveiro},
  journal= {arXiv preprint arXiv:2302.08339},
  year   = {2024}
}

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26 pages