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<p>We classify polar isometric actions on simply connected 3-dimensional Riemannian homogeneous spaces, up to orbit equivalence. In particular, we classify extrinsically homogeneous surfaces in such spaces and study the geometry of the orbit foliations of the corresponding cohomogeneity one actions.</p>

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Polar actions on homogeneous 3-spaces

  • 期刊论文

  • 发表日期：

    2025年12月24日

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  • Miguel Domínguez-Vázquez,
  • Tarcios A. Ferreira,
  • Tomás Otero

摘要

We classify polar isometric actions on simply connected 3-dimensional Riemannian homogeneous spaces, up to orbit equivalence. In particular, we classify extrinsically homogeneous surfaces in such spaces and study the geometry of the orbit foliations of the corresponding cohomogeneity one actions.