Curvature decay estimates of graphical mean curvature flow in higher codimensions
Journal
Transactions of the American Mathematical Society
Journal Volume
368
Journal Issue
11
Pages
7763-7775
Date Issued
2016
Author(s)
Abstract
We derive pointwise curvature estimates for graphical mean curvature flows in higher codimensions for a flat ambient space. To the best of our knowledge, these are the first such estimates without assuming smallness of first derivatives of the defining map. An immediate application is a convergence theorem of the mean curvature flow of the graph of an area decreasing map between flat Riemann surfaces.
SDGs
Type
journal article