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.
Rigidity of compact manifolds and positivity of quasi- local mass.Classical Quantum Gravity, 24(9):2357–2366, 2007
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.