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math.DG2017
Diameter and curvature control under mean curvature flow
Panagiotis Gianniotis, Robert Haslhofer
We prove that for the mean curvature flow of two-convex hypersurfaces the intrinsic diameter stays uniformly controlled as one approaches the first singular time. We also derive sh…
math.DG2017
Regularity theory for Type I Ricci flows
Panagiotis Gianniotis
We consider Type I Ricci flows and obtain integral estimates for the curvature tensor valid up to, and including, the singular time. Our estimates partially extend to higher dimens…