Mathematics > Differential Geometry
[Submitted on 16 Jan 2014 (v1), last revised 2 Dec 2014 (this version, v2)]
Title:Curvature Decay Estimates of Graphical Mean Curvature Flow in Higher Codimensions
View PDFAbstract:We derive pointwise curvature estimates for graphical mean curvature flows in higher codimensions. To the best of our knowledge, this is 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.
Submission history
From: Mao-Pei Tsui [view email][v1] Thu, 16 Jan 2014 20:24:41 UTC (14 KB)
[v2] Tue, 2 Dec 2014 12:02:06 UTC (15 KB)
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