Author

R. Bamler

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Preprint Sep 2026

Smoothing polyhedral spaces via Ricci flow

We prove Petrunin's smoothing conjecture in all dimensions: every compact Euclidean polyhedral space without boundary and with nonnegative Alexandrov curvature is a Gromov-Hausdorff limit of smooth Riemannian orbifolds with geometrically nonnegative curvature. More strongly, the approximating metrics are positive-time...

R. Bamler, Esther Cabezas-Rivas · 0 citations