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arXiv · 1407.0638

Low Dimensional Polar Actions

Francisco J. Gozzi
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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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Francisco J. Gozzi. 2014-11-10. Low Dimensional Polar Actions. https://arxiv.org/abs/1407.0638

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