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Brown, J · 1991

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Fill-Ins of Tori with Scalar Curvature Bounded from Below

math.DG · 2024-11-22 · conditional · novelty 7.0

For a flat torus boundary, the average boundary mean curvature of any fill-in with scalar curvature at least -n(n-1) is bounded by an explicit function of the shortest noncontractible circle length.

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  • Fill-Ins of Tori with Scalar Curvature Bounded from Below math.DG · 2024-11-22 · conditional · none · ref 7

    For a flat torus boundary, the average boundary mean curvature of any fill-in with scalar curvature at least -n(n-1) is bounded by an explicit function of the shortest noncontractible circle length.