Symmetry results for the mean field equation on S^2 for 1/3 ≤ α < 1/2 are established via the Sphere Covering Inequality and topology, then used to prove Hawking mass rigidity for stable CMC spheres.
Uniqueness of solutions to the mean field equations for the spherical Onsager vortex.Arch
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Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on ( \mathbb{S}^2 )
Symmetry results for the mean field equation on S^2 for 1/3 ≤ α < 1/2 are established via the Sphere Covering Inequality and topology, then used to prove Hawking mass rigidity for stable CMC spheres.