Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials

Details Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials

2002-09-25

arxiv.org/abs/math/0209349v2

Mathematics

Differential Geometry

submitted

Scientific paper

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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