On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow
classification
🧮 math.AP
math.DG
keywords
meanblowupfindgenericneighborhoodsingularitiesconfirmsconjecture
pith:MLYJOAHR Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{MLYJOAHR}
Prints a linked pith:MLYJOAHR badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We consider one of the generic regimes of formation of singularities. We obtain a detailed description of a possibly small, but fixed, neighborhood of the blowup point, up to (and including) the blowup time, and find that it is mean convex. This confirms a conjecture by Ilmanen. And we find that the singularity is isolated from the other ones.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.