Derives monotone quantities for harmonic functions on AF 3-manifolds with nonnegative scalar curvature that remain constant on Schwarzschild exteriors and yield mass-capacity identities.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Affirmative resolution of Yau's problem: small mass implies bilipschitz diffeomorphism to R^3 for 3-manifolds with nonnegative scalar curvature and L^2 curvature bounded by 1.
citing papers explorer
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Monotone quantities on $3$-manifolds with nonnegative scalar curvature
Derives monotone quantities for harmonic functions on AF 3-manifolds with nonnegative scalar curvature that remain constant on Schwarzschild exteriors and yield mass-capacity identities.
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On $3$-manifolds with small mass and $L^2$-curvature
Affirmative resolution of Yau's problem: small mass implies bilipschitz diffeomorphism to R^3 for 3-manifolds with nonnegative scalar curvature and L^2 curvature bounded by 1.