Raimi's theorem extends to spheres, rotational power surfaces, and cylinders by lifting a measurable circle partition using circle-bundle trivializations and measure-preserving rotations.
Mattila, A survey on the Hausdorff dimension of intersections, Mathematical and Computational Applications, 28(2) (2023), 49
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Raimi's theorem for manifolds with circle symmetry
Raimi's theorem extends to spheres, rotational power surfaces, and cylinders by lifting a measurable circle partition using circle-bundle trivializations and measure-preserving rotations.