English

Homogeneous compact geometries

Group Theory 2014-04-17 v2 Differential Geometry

Abstract

We classify compact homogeneous geometries of irreducible spherical type and rank at least 2 which admit a transitive action of a compact connected group, up to equivariant 2-coverings. We apply our classification to polar actions on compact symmetric spaces.

Keywords

Cite

@article{arxiv.1205.2342,
  title  = {Homogeneous compact geometries},
  author = {Linus Kramer and Alexander Lytchak},
  journal= {arXiv preprint arXiv:1205.2342},
  year   = {2014}
}

Comments

To appear in: Transformation Groups

R2 v1 2026-06-21T21:01:47.810Z