Lagrangian mean curvature flow of pinched submanifolds of CP^n
Lagrangian mean curvature flow of pinched submanifolds of CP^n
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CP^n 收缩子流形的拉格朗日平均曲率流
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
C. Sinestrari
中科院分区：
文献类型：
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作者：
Giuseppe Pipoli;C. Sinestrari
研究复射影空间CP^n中Lagrange子流形的平均曲率流演化。我们证明了，如果初始值满足一个适当的拼挤条件，那么流存在的所有时间和流形收敛到一个全测地子流形。作为推论，我们得到了一个满足拼挤条件的拉格朗日子流形是一个真实的射影空间的同构。
We consider the evolution by mean curvature flow of Lagrangian submanifolds of the complex projective space CP^n. We prove that, if the initial value satisfies a suitable pinching condition, then the flow exists for all times and the manifold converges to a totally geodesic submanifold. As a corollary, we obtain that a Lagrangian submanifold satisfying our pinching condition is diffeomorphic to a real projective space.