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math.DG2025
On fill-ins with scalar curvature bounded from below and an inequality of Hijazi-Montiel-Roldán
Simon Brendle, Raphael Tsiamis, Yipeng Wang
We consider fill-ins of spin manifolds with scalar curvature bounded by . Gromov proposed a conjecture relating the infimum of the mean curvature of such a fill-in to the…
math.DG2025
Uniqueness of Cylindrical Tangent Cones
Benjy Firester, Raphael Tsiamis, Yipeng Wang
We show the uniqueness of the cylindrical tangent cone for area-minimizing hypersurfaces in , completing the u…