Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials
Knut Smoczyk, Mu-Tao Wang
Abstract
This article studies the mean curvature flow of Lagrangian submanifolds. In particular, we prove the following global existence and convergence theorem: if the potential function of a Lagrangian graph in T2n is convex, then the flow exists for all time and converges smoothly to a flat Lagrangian submanifold.
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