%0 Journal Article
%T Mean Curvature Flows and Isotopy of Maps Between Spheres
%A Mao-Pei Tsui
%A Mu-Tao Wang
%J Mathematics
%D 2003
%I arXiv
%X Let f be a smooth map between unit spheres of possibly different dimensions. We prove the global existence and convergence of the mean curvature flow of the graph of f under various conditions. A corollary is that any area-decreasing map between unit spheres (of possibly different dimensions) is homotopic to a constant map.
%U http://arxiv.org/abs/math/0302242v2