Convergence of Lagrangian mean curvature flow in Kähler–Einstein manifolds
Convergence of Lagrangian mean curvature flow in Kähler–Einstein manifolds
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DOI：
10.1007/s00209-011-0865-z
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发表时间：
2011-03
影响因子：
0.8
通讯作者：
Haozhao Li
中科院分区：
文献类型：
--
作者：
Haozhao Li
本文给出了一般K\"ahler-Einstein流形中某些稳定条件下拉格朗日平均曲率流的收敛结果。特别地，我们证明了如果初始数据是K\"ahler-Einstein流形中稳定最小拉格朗日子流形的一些小扰动，则该流将会收敛。
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.