@JohnMa Do you know why the initial smallness of $\int_{M_0} |\overset\circ A|^2$ forces the singularities to be of type I ? I can't found any information of velocity of the singularity from Theorem 1.3. Besides, how to display Latex in chat room? Thanks.

@JohnMa It is the Theorem 1.3 of BLOW-UP OF THE MEAN CURVATURE AT THE FIRST SINGULAR TIME OF THE MEAN CURVATURE FLOW

@lanse7pty In their proof they show that eventually M becomes convex. Then by Huisken 1984 JDG they conclude that the singularity is of type I (the definition of type I singularity is not there in 1984, but it is implicit in the calculation in that 1984 paper).

Let me check the 1984 paper

@JohnMa Seemly the way of normalized implicit the type, but it is not obvious.

@lanse7pty Yes, I think so, but I really need to check. To understand Lin and Seseum's work that is not essentially though.