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[HZ25] Y · arXiv 2510.23499

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math.DG 1

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2026 1

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Mean curvature flows with prescribed singular sets

math.DG · 2026-04-15 · unverdicted · novelty 8.0

For any closed set K in R^n and m at least 2, ancient mean-convex mean curvature flows of hypersurfaces exist in R^{m+n} with a metric C^infty-close to Euclidean whose first-time singular set is exactly K times {0}.

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  • Mean curvature flows with prescribed singular sets math.DG · 2026-04-15 · unverdicted · none · ref 1

    For any closed set K in R^n and m at least 2, ancient mean-convex mean curvature flows of hypersurfaces exist in R^{m+n} with a metric C^infty-close to Euclidean whose first-time singular set is exactly K times {0}.