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Stability of euclidean 3-space for the positive mass theorem

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Codimension 2 drawstrings with scalar curvature lower bounds

math.DG · 2025-01-15 · conditional · novelty 7.0

Kazaras and Xu construct drawstring metrics along arbitrary codimension-2 submanifolds with scalar curvature almost bounded below, yielding new collapsed limits and a claimed but flawed Llarull counterexample.

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  • Codimension 2 drawstrings with scalar curvature lower bounds math.DG · 2025-01-15 · conditional · none · ref 8

    Kazaras and Xu construct drawstring metrics along arbitrary codimension-2 submanifolds with scalar curvature almost bounded below, yielding new collapsed limits and a claimed but flawed Llarull counterexample.