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math.DG2026
Smoothing polyhedral spaces via Ricci flow
Richard H. Bamler, Esther Cabezas-Rivas
We prove Petrunin's smoothing conjecture in all dimensions: every compact Euclidean polyhedral space without boundary and with nonnegative Alexandrov curvature is a Gromov-Hausdorf…
math.DG2026
A non-Kähler expanding Ricci soliton with a Kähler tangent cone at infinity
Richard H. Bamler, Eric Chen, Ronan J. Conlon
We construct an example of an asymptotically conical (AC) non-Kähler expanding gradient Ricci soliton that has a Kähler tangent cone at infinity. This yields an example of a Kähler…