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arXiv:0906.5527 [math.DG]AbstractReferencesReviewsResources

Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifolds

Haozhao Li

Published 2009-06-30, updated 2011-07-26Version 2

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.

Comments: Final version, to appear in Math. Z
Categories: math.DG, math.AP
Subjects: 53C44, 53A10
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