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.
On a sharp Moser-Aubin-Onofri inequality for func- tions onS 2 with symmetry.Pacific J
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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.