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HOMOGENEOUS COMPACT GEOMETRIES

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A Correction to this article was published on 17 April 2019

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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.

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Change history

  • 17 April 2019

    We correct an error in our article [6], completing the classification of compact homogeneous geometries.

  • 17 April 2019

    We correct an error in our article [6], completing the classification of compact homogeneous geometries.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Münster, Einsteinstr. 62, 48149, Münster, Germany

    L. KRAMER

  2. Mathematisches Institut, Universität Köln, Weyertal 86-90, 50931, Köln, Germany

    A. LYTCHAK

Authors
  1. L. KRAMER
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  2. A. LYTCHAK
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Correspondence to L. KRAMER.

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*Supported by the SFB 878 ‘Groups, Geometry and Actions’.

**Supported by a Heisenberg Fellowship.

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KRAMER, L., LYTCHAK, A. HOMOGENEOUS COMPACT GEOMETRIES. Transformation Groups 19, 793–852 (2014). https://doi.org/10.1007/s00031-014-9278-5

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