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math.DG2025
Decay order bound for mean curvature flow near compact singularities
Sourav Ghosh
We consider the rescaled flow associated with a mean curvature flow that develops a compact singularity of multiplicity one. We prove that the ``decay order'' of such a rescaled fl…
math.DG2025
Cylindrical tangent flows in mean curvature flow
Sourav Ghosh
The only non-compact linearly stable singularity models for mean curvature flow are cylindrical, as shown by Colding-Minicozzi. The uniqueness of blowups at singularities modeled o…
math.DG2025
Lagrangian mean curvature flow of surfaces with mean curvature bound
Sourav Ghosh
Let be a zero Maslov Lagrangian mean curvature flow in We show that if the mean curvature stays uniformly bounded along the flow, then the tangent flow at a s…