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Free boundary flow through cylindrical singularities

math.DG · 2026-06-15 · unverdicted · novelty 7.0

Free boundary mean curvature flow through cylindrical and half-cylindrical singularities is well-posed due to mean-convex neighborhoods and nonfattening.

Mean convex flows with surgery

math.DG · 2026-05-31 · unverdicted · novelty 7.0

Constructs mean curvature flow with surgery for compact mean convex hypersurfaces in R^{n+1} by performing topological surgeries via nondegenerate cylindrical singularities with finite smooth-time adjustments.

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  • Free boundary flow through cylindrical singularities math.DG · 2026-06-15 · unverdicted · none · ref 18

    Free boundary mean curvature flow through cylindrical and half-cylindrical singularities is well-posed due to mean-convex neighborhoods and nonfattening.

  • Mean convex flows with surgery math.DG · 2026-05-31 · unverdicted · none · ref 9

    Constructs mean curvature flow with surgery for compact mean convex hypersurfaces in R^{n+1} by performing topological surgeries via nondegenerate cylindrical singularities with finite smooth-time adjustments.