Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials
Differential Geometry
2016-09-07 v2 Analysis of PDEs
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 T^{2n} is convex, then the flow exists for all time and converges smoothly to a flat Lagrangian submanifold.
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Cite
@article{arxiv.math/0209349,
title = {Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials},
author = {Knut Smoczyk and Mu-Tao Wang},
journal= {arXiv preprint arXiv:math/0209349},
year = {2016}
}
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