We show uniqueness of cylindrical blowups for mean curvature flow in all
dimension and all codimension. Mean curvature flow in higher codimension is a
nonlinear parabolic system whose complexity increases as the codimension
increases. Our results imply regularity of the singular set for the system.
%0 Generic
%1 colding2019regularity
%A Colding, Tobias Holck
%A Minicozzi II, William P.
%D 2019
%K curvature flow mean
%T Regularity of elliptic and parabolic systems
%U http://arxiv.org/abs/1905.00085
%X We show uniqueness of cylindrical blowups for mean curvature flow in all
dimension and all codimension. Mean curvature flow in higher codimension is a
nonlinear parabolic system whose complexity increases as the codimension
increases. Our results imply regularity of the singular set for the system.
@misc{colding2019regularity,
abstract = {We show uniqueness of cylindrical blowups for mean curvature flow in all
dimension and all codimension. Mean curvature flow in higher codimension is a
nonlinear parabolic system whose complexity increases as the codimension
increases. Our results imply regularity of the singular set for the system.},
added-at = {2019-08-14T20:54:17.000+0200},
author = {Colding, Tobias Holck and Minicozzi II, William P.},
biburl = {https://www.bibsonomy.org/bibtex/2da0b43db3f6d3b966e4a0b51a4e0d613/gzhou},
description = {Regularity of elliptic and parabolic systems},
interhash = {4117abe55e3545d6c9ff787a8a99f207},
intrahash = {da0b43db3f6d3b966e4a0b51a4e0d613},
keywords = {curvature flow mean},
note = {cite arxiv:1905.00085},
timestamp = {2019-08-14T20:54:17.000+0200},
title = {Regularity of elliptic and parabolic systems},
url = {http://arxiv.org/abs/1905.00085},
year = 2019
}