2012/04/04 by Mu-Tao Wang, Wang, Mu-Tao
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG
paper · pdf · doi:10.48550/arxiv.1204.0841
10 pages, contribution to "Survey in Differential Geometry"
arxiv created 2012/04/04 · arxiv updated 2012/04/05
In this note, we discuss the mean curvature flow of graphs of maps between Riemannian manifolds. Special emphasis will be placed on estimates of the flow as a non-linear parabolic system of differential equations. Several global existence theorems and applications to isotopy problems in geometry and topology will be presented. The results are based on joint works of the author with his collaborators I. Medoš, K. Smoczyk, and M.-P. Tsui.