Cylindrical tangent flows in mean curvature flow

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 on cylinders was established by Colding-Minicozzi.

They also proved rigidity results for cylindrical singularities in their earlier work.

In this paper, we develop a different approach inspired by Székelyhidi to study cylindrical singularities and prove uniqueness and rigidity results.