Abstract
Polar manifolds are Riemannian \(G\)-manifolds admitting a “section”, i.e., a complete submanifold passing through every orbit and doing so orthogonally. We consider compact simply-connected polar manifolds and achieve an equivariantly diffeomorphic classification in dimensions 5 or less. As an application, we determine which of these polar actions admit an invariant metric with non-negative curvature.
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The author was supported by CNPq-BRAZIL.
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Gozzi, F.J. Low dimensional polar actions. Geom Dedicata 175, 219–247 (2015). https://doi.org/10.1007/s10711-014-0037-5
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DOI: https://doi.org/10.1007/s10711-014-0037-5