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Non-collapsing of Ricci shrinkers with bounded curvature

math.DG · 2024-12-18 · conditional · novelty 6.0

Simply connected Ricci shrinkers with curvature bound |Rm| <= A and finite second homotopy group satisfy mu(g) >= -C(n,A), so unit balls around basepoints have uniformly bounded below volume.

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  • Non-collapsing of Ricci shrinkers with bounded curvature math.DG · 2024-12-18 · conditional · none · ref 2

    Simply connected Ricci shrinkers with curvature bound |Rm| <= A and finite second homotopy group satisfy mu(g) >= -C(n,A), so unit balls around basepoints have uniformly bounded below volume.