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arXiv · 2505.05898

Polar actions on homogeneous 3-spaces

Miguel Dominguez-Vazquez·Tarcios A. Ferreira·Tomas Otero
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Abstract

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.

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Miguel Dominguez-Vazquez, Tarcios A. Ferreira, Tomas Otero. 2025-05-09. Polar actions on homogeneous 3-spaces. https://doi.org/10.1007/s10231-025-01627-3

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