Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifolds

Details Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifolds Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifolds

2009-06-30

arxiv.org/abs/0906.5527v2

Mathematics

Differential Geometry

Final version, to appear in Math. Z

Scientific paper

In this paper, we give some convergence results of Lagrangian mean curvature
flow under some stability conditions in a general K\"ahler-Einstein manifold.
In particular, we prove that the flow will converge if the initial data is some
small perturbation of stable minimal Lagrangian submanifold in a
K\"ahler-Einstein manifold.

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