Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials

摘要

This article studies the mean curvature flow of Lagrangian submanifolds. Inparticular, we prove the following global existence and convergence theorem: ifthe potential function of a Lagrangian graph in T^{2n} is convex, then the flow exists for all time and converges smoothly toa flat Lagrangian submanifold.