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Mathematics  2009 

Convergence of Lagrangian mean curvature flow in K?hler-Einstein manifolds

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Abstract:

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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