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min-max theory 1quantitative dimension 1riemannian geometry 1sweepouts 1width invariants 1zoll spheres 1

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math.DG2026

Ambient geometry via min-max widths of embedded circles

Lucas Ambrozio, Ivan Miranda, Rafael Montezuma

The paper establishes bounds for min‑max invariants of Riemannian spheres using the widths of embedded circles, introduces a technique to derive sweepouts of point pairs from curve…