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math.DG2017
Brownian motion on Perelman's almost Ricci-flat manifold
Esther Cabezas-Rivas, Robert Haslhofer
We study Brownian motion and stochastic parallel transport on Perelman's almost Ricci flat manifold , whose dimension depends on a parameter…
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…