Entropy and codimension bounds for generic singularities
Differential Geometry
2019-07-11 v2 Analysis of PDEs
Geometric Topology
Spectral Theory
Abstract
We show that all closed -dimensional singularities for higher codimension mean curvature flow that cannot be perturbed away have uniform entropy bounds and lie in a linear subspace of small dimension. The entropy and dimension of the subspace are both for some universal constant and genus . These are the first general bounds on generic singularities in arbitrary codimension.
Cite
@article{arxiv.1906.07609,
title = {Entropy and codimension bounds for generic singularities},
author = {Tobias Holck Colding and William P. Minicozzi},
journal= {arXiv preprint arXiv:1906.07609},
year = {2019}
}