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math.DG 1

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2026 1

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Existence of Yamabe stability optimizers

math.DG · 2026-08-10 · conditional · novelty 7.0

For closed manifolds with positive Yamabe invariant below the sphere value, stability optimizers exist whenever the stability constant lies strictly below a local and a one-bubble threshold, and the bubble-threshold inequality is verified in most geometric settings.

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  • Existence of Yamabe stability optimizers math.DG · 2026-08-10 · conditional · none · ref 2

    For closed manifolds with positive Yamabe invariant below the sphere value, stability optimizers exist whenever the stability constant lies strictly below a local and a one-bubble threshold, and the bubble-threshold inequality is verified in most geometric settings.